Analysis of biodiversity data
Setup
SAD curves
We can obtain the Species Abundance Distribution for our samples To
use the library {sads}, and the example data on moth
abundance.
## [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [16] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [31] 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2
## [46] 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3
## [61] 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4
## [76] 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6
## [91] 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8
## [106] 8 8 9 9 9 9 10 10 10 10 11 11 12 12 13
## [121] 13 13 13 13 14 14 15 15 15 15 16 16 16 17 17
## [136] 17 18 18 18 19 19 19 20 20 20 20 21 22 22 22
## [151] 23 23 23 24 25 25 25 26 27 28 28 28 29 29 32
## [166] 34 34 36 36 36 37 37 43 43 44 44 45 49 49 49
## [181] 51 51 51 51 52 53 54 54 57 58 58 60 60 60 61
## [196] 64 67 73 76 76 78 84 89 96 99 109 112 120 122 129
## [211] 135 141 148 149 151 154 177 181 187 190 199 211 221 226 235
## [226] 239 244 246 282 305 306 333 464 560 572 589 604 743 823 2349
Preston plot
First, we are going to obtain the Preston plot, also known as octaves. This plot represents the number of species in classes of logarithm of abundances at base 2.
## octave upper Freq
## 1 0 1 35
## 2 1 2 11
## 3 2 4 29
## 4 3 8 32
## 5 4 16 26
## 6 5 32 32
## 7 6 64 31
## 8 7 128 13
## 9 8 256 19
## 10 9 512 5
## 11 10 1024 6
## 12 11 2048 0
## 13 12 4096 1
## 14 13 8192 0
Whittaker diagram
We can also obtain the Whittaker plot for our data. This is the rank-abundance diagram
Species Abundance Distributions: fitting curves
We are going to fit some curves to the rank abundance plot
# build the model
moths.ge <- fitsad(x=moths, sad="geom") # geometric distribution
moths.ls <- fitsad(x=moths, sad="ls") # log series distribution
moths.ln <- fitsad(x=moths, sad="lnorm") #log-normal distribution
# get rank abundance objects
moths.ge.rad <- radpred(moths.ge)
moths.ls.rad <- radpred(moths.ls)
moths.ln.rad <- radpred(moths.ln)
# Plot the curves
plot(moths.ln.rad)plot(moths.ln.rad, xlab = "Rank", ylab = "Abundance", log = "y",
type = "l", col = "green", lty = 1, lwd = 6)# We can superimpose the curve to the rank plot
plot(moths.rad)
lines(moths.ge.rad, col="red")
lines(moths.ls.rad, col="blue")
lines(moths.ln.rad, col="green")
legend("topright",c("Geometric", "Logseries", "lognormal"),lty=1, col=c("red", "blue", "green"))## 'log Lik.' -1240.137 (df=1)
## 'log Lik.' -1087.713 (df=1)
## 'log Lik.' -1097.723 (df=2)
Alpha diversity
Shannon index
Let us calculate Shannon index using example data from the power point
birds1 <- data.frame(Species = c('BlueTit', 'Robin', 'Magpie',
'GreatTit'),
Abundance = rep(9, 4))
birds1## Species Abundance
## 1 BlueTit 9
## 2 Robin 9
## 3 Magpie 9
## 4 GreatTit 9
## now let us get the pi, ln(pi), N and S to calculate Shannon index
N <- sum(birds1$Abundance)
S <- nrow(birds1)
pi <- birds1$Abundance/N
lnpi <- log(pi)
H <- -sum(pi*lnpi)
H## [1] 1.386294
Community structure: {vegan} package
vegdist() function allows calculating multiple community dissimilarity indices.
# 1. transpose the data
birds1.transpose <- as.data.frame(t(birds1[, -1]))
colnames(birds1.transpose) <- birds1$Species
birds1.transpose## BlueTit Robin Magpie GreatTit
## 1 9 9 9 9
## [1] 1.386294
Properties of Diversity indices
Shannon diversity vs Hill numbers
If we have two communities with no species in common, the diversity of both together should be the sum of the diversities of each one
# We create a second community with no species in common with the first one
birds2 <- data.frame(Species = c('Sparrow', 'Dove', 'Crow'),
Abundance = c(4,5,20))
birds2 ## Species Abundance
## 1 Sparrow 4
## 2 Dove 5
## 3 Crow 20
# the transpose matrix for the analysis
birds2.transpose <- as.data.frame(t(birds2[, -1]))
colnames(birds2.transpose) <- birds2$Species
birds2.transpose## Sparrow Dove Crow
## 1 4 5 20
# Both communities in the same table
# transpose data and get sums
birds.both <- merge(birds1, birds2, by = 'Species', all = T)
birds.both$Abundance.x[is.na(birds.both$Abundance.x)] <- 0
birds.both$Abundance.y[is.na(birds.both$Abundance.y)] <- 0
birds.both## Species Abundance.x Abundance.y
## 1 BlueTit 9 0
## 2 Crow 0 20
## 3 Dove 0 5
## 4 GreatTit 9 0
## 5 Magpie 9 0
## 6 Robin 9 0
## 7 Sparrow 0 4
## [1] 9 20 5 9 9 9 4
both.trans <- as.data.frame(t(birds.both[, -1]))
colnames(both.trans) <- birds.both$Species
rownames(both.trans) <- c("birds1", "birds2")
both.trans## BlueTit Crow Dove GreatTit Magpie Robin Sparrow
## birds1 9 0 0 9 9 9 0
## birds2 0 20 5 0 0 0 4
all.trans <- colSums(both.trans)
# shannon diversity for each sample and for the sum
H1 <- diversity(both.trans, index = "shannon")
H2 <- diversity(all.trans, index = "shannon")
H1## birds1 birds2
## 1.3862944 0.8325713
## [1] 1.826586
## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Species Richness 4 4.000000 0.0000000 4.000000 4.000000
## Shannon diversity 4 4.174206 0.1489518 3.882266 4.466147
## Simpson diversity 4 4.375000 0.2690638 3.847645 4.902355
## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Species Richness 3.000000 3.000000 0.2314500 2.546366 3.453634
## Shannon diversity 2.299223 2.383059 0.3436507 1.709516 3.056602
## Simpson diversity 1.907029 1.970874 0.3843317 1.217598 2.724150
## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Species Richness 7.000000 7.000000 0.1224634 6.759976 7.240024
## Shannon diversity 6.212639 6.513826 0.3997281 5.730374 7.297279
## Simpson diversity 5.522876 5.942857 0.6287382 4.710553 7.175161
Hill Numbers
Get the Hill Number with q = 0 (Species richness)
Load data from the library about spider samples in two locations
## List of 2
## $ Girdled: num [1:26] 46 22 17 15 15 9 8 6 6 4 ...
## $ Logged : num [1:37] 88 22 16 15 13 10 8 8 7 7 ...
## Assemblage n S.obs SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
## 1 Girdled 168 26 0.9289 12 4 0 1 0 2 0 1 1 0
## 2 Logged 252 37 0.9446 14 4 4 3 1 0 3 2 0 1
#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
example1$iNextEst## $size_based
## Assemblage m Method Order.q qD qD.LCL qD.UCL SC
## 1 Girdled 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1223268
## 2 Girdled 10 Rarefaction 0 6.478617 5.980650 6.976585 0.5969308
## 3 Girdled 19 Rarefaction 0 9.450323 8.514725 10.385920 0.7380651
## 4 Girdled 28 Rarefaction 0 11.514220 10.211570 12.816869 0.8034337
## 5 Girdled 37 Rarefaction 0 13.126817 11.505166 14.748469 0.8389628
## 6 Girdled 47 Rarefaction 0 14.622424 12.681183 16.563665 0.8623491
## 7 Girdled 56 Rarefaction 0 15.802849 13.592573 18.013124 0.8760357
## 8 Girdled 65 Rarefaction 0 16.877170 14.409143 19.345197 0.8858194
## 9 Girdled 74 Rarefaction 0 17.873934 15.156412 20.591457 0.8931774
## 10 Girdled 84 Rarefaction 0 18.912360 15.925296 21.899424 0.8995141
## 11 Girdled 93 Rarefaction 0 19.797701 16.573809 23.021592 0.9041168
## 12 Girdled 102 Rarefaction 0 20.644613 17.188563 24.100662 0.9080200
## 13 Girdled 111 Rarefaction 0 21.458439 17.774306 25.142572 0.9114464
## 14 Girdled 120 Rarefaction 0 22.242813 18.334171 26.151456 0.9145496
## 15 Girdled 130 Rarefaction 0 23.082755 18.928306 27.237204 0.9177469
## 16 Girdled 139 Rarefaction 0 23.812028 19.439166 28.184890 0.9204781
## 17 Girdled 148 Rarefaction 0 24.517097 19.928029 29.106165 0.9231226
## 18 Girdled 157 Rarefaction 0 25.198592 20.395046 30.002139 0.9257162
## 19 Girdled 167 Rarefaction 0 25.928571 20.888098 30.969045 0.9285714
## 20 Girdled 168 Observed 0 26.000000 20.935885 31.064115 0.9288554
## 21 Girdled 169 Extrapolation 0 26.071145 20.983389 31.158900 0.9291383
## 22 Girdled 177 Extrapolation 0 26.630211 21.353276 31.907147 0.9313612
## 23 Girdled 186 Extrapolation 0 27.238226 21.747942 32.728509 0.9337788
## 24 Girdled 195 Extrapolation 0 27.824825 22.120113 33.529536 0.9361112
## 25 Girdled 204 Extrapolation 0 28.390763 22.470109 34.311418 0.9383615
## 26 Girdled 212 Extrapolation 0 28.877064 22.762924 34.991203 0.9402951
## 27 Girdled 221 Extrapolation 0 29.405941 23.072198 35.739684 0.9423979
## 28 Girdled 230 Extrapolation 0 29.916190 23.360664 36.471716 0.9444268
## 29 Girdled 239 Extrapolation 0 30.408468 23.628917 37.188018 0.9463841
## 30 Girdled 248 Extrapolation 0 30.883406 23.877595 37.889218 0.9482726
## 31 Girdled 256 Extrapolation 0 31.291513 24.082751 38.500274 0.9498953
## 32 Girdled 265 Extrapolation 0 31.735349 24.296303 39.174396 0.9516600
## 33 Girdled 274 Extrapolation 0 32.163554 24.492271 39.834837 0.9533626
## 34 Girdled 283 Extrapolation 0 32.576676 24.671367 40.481985 0.9550052
## 35 Girdled 292 Extrapolation 0 32.975248 24.834302 41.116193 0.9565900
## 36 Girdled 300 Extrapolation 0 33.317733 24.966136 41.669329 0.9579518
## 37 Girdled 309 Extrapolation 0 33.690203 25.100461 42.279946 0.9594328
## 38 Girdled 318 Extrapolation 0 34.049555 25.220631 42.878479 0.9608616
## 39 Girdled 327 Extrapolation 0 34.396250 25.327311 43.465188 0.9622401
## 40 Girdled 336 Extrapolation 0 34.730733 25.421149 44.040318 0.9635701
## 41 Logged 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1445014
## 42 Logged 14 Rarefaction 0 8.353329 7.800665 8.905993 0.5883461
## 43 Logged 28 Rarefaction 0 13.222439 12.266176 14.178702 0.7118410
## 44 Logged 42 Rarefaction 0 16.765525 15.425927 18.105123 0.7809656
## 45 Logged 56 Rarefaction 0 19.532844 17.844726 21.220963 0.8236635
## 46 Logged 70 Rarefaction 0 21.804004 19.797001 23.811007 0.8521804
## 47 Logged 84 Rarefaction 0 23.734513 21.430161 26.038865 0.8724155
## 48 Logged 98 Rarefaction 0 25.418159 22.832582 28.003736 0.8874459
## 49 Logged 112 Rarefaction 0 26.915447 24.061560 29.769333 0.8990090
## 50 Logged 126 Rarefaction 0 28.267510 25.156160 31.378860 0.9081562
## 51 Logged 139 Rarefaction 0 29.418556 26.076453 32.760659 0.9150769
## 52 Logged 153 Rarefaction 0 30.565961 26.982970 34.148951 0.9212585
## 53 Logged 167 Rarefaction 0 31.633749 27.816406 35.451092 0.9264196
## 54 Logged 181 Rarefaction 0 32.634744 28.588165 36.681322 0.9307716
## 55 Logged 195 Rarefaction 0 33.579251 29.307098 37.851404 0.9344627
## 56 Logged 209 Rarefaction 0 34.475787 29.980225 38.971348 0.9376004
## 57 Logged 223 Rarefaction 0 35.331544 30.613203 40.049884 0.9402668
## 58 Logged 237 Rarefaction 0 36.152671 31.210604 41.094737 0.9425289
## 59 Logged 251 Rarefaction 0 36.944444 31.776081 42.112808 0.9444444
## 60 Logged 252 Observed 0 37.000000 31.815330 42.184670 0.9445706
## 61 Logged 253 Extrapolation 0 37.055429 31.854431 42.256428 0.9446965
## 62 Logged 266 Extrapolation 0 37.764657 32.349338 43.179976 0.9463075
## 63 Logged 279 Extrapolation 0 38.453226 32.819564 44.086887 0.9478715
## 64 Logged 292 Extrapolation 0 39.121736 33.265469 44.978004 0.9493900
## 65 Logged 305 Extrapolation 0 39.770774 33.687481 45.854067 0.9508643
## 66 Logged 319 Extrapolation 0 40.448609 34.115811 46.781407 0.9524039
## 67 Logged 332 Extrapolation 0 41.058995 34.489881 47.628109 0.9537904
## 68 Logged 345 Extrapolation 0 41.651601 34.841811 48.461391 0.9551365
## 69 Logged 358 Extrapolation 0 42.226944 35.172285 49.281604 0.9564433
## 70 Logged 371 Extrapolation 0 42.785528 35.482024 50.089032 0.9577121
## 71 Logged 385 Extrapolation 0 43.368897 35.793257 50.944536 0.9590372
## 72 Logged 398 Extrapolation 0 43.894216 36.062337 51.726095 0.9602304
## 73 Logged 411 Extrapolation 0 44.404233 36.313021 52.495445 0.9613889
## 74 Logged 424 Extrapolation 0 44.899393 36.546078 53.252708 0.9625136
## 75 Logged 437 Extrapolation 0 45.380130 36.762270 53.997990 0.9636056
## 76 Logged 451 Extrapolation 0 45.882197 36.977086 54.787309 0.9647460
## 77 Logged 464 Extrapolation 0 46.334305 37.160615 55.507995 0.9657729
## 78 Logged 477 Extrapolation 0 46.773243 37.329520 56.216966 0.9667699
## 79 Logged 490 Extrapolation 0 47.199395 37.484485 56.914306 0.9677379
## 80 Logged 504 Extrapolation 0 47.644456 37.636539 57.652374 0.9687488
## SC.LCL SC.UCL
## 1 0.08962193 0.1550316
## 2 0.53915427 0.6547074
## 3 0.68907798 0.7870523
## 4 0.76158579 0.8452817
## 5 0.80133386 0.8765918
## 6 0.82726659 0.8974317
## 7 0.84237373 0.9096977
## 8 0.85317496 0.9184638
## 9 0.86129340 0.9250615
## 10 0.86825629 0.9307718
## 11 0.87327628 0.9349572
## 12 0.87749317 0.9385468
## 13 0.88115181 0.9417410
## 14 0.88441757 0.9446817
## 15 0.88771741 0.9477765
## 16 0.89046760 0.9504886
## 17 0.89305546 0.9531898
## 18 0.89550956 0.9559229
## 19 0.89810434 0.9590385
## 20 0.89835469 0.9593562
## 21 0.89860337 0.9596733
## 22 0.90053830 0.9621842
## 23 0.90261690 0.9649407
## 24 0.90461327 0.9676091
## 25 0.90654413 0.9701788
## 26 0.90821529 0.9723748
## 27 0.91005250 0.9747434
## 28 0.91185035 0.9770032
## 29 0.91361318 0.9791551
## 30 0.91534390 0.9812012
## 31 0.91685694 0.9829336
## 32 0.91853166 0.9847884
## 33 0.92017801 0.9865472
## 34 0.92179639 0.9882141
## 35 0.92338693 0.9897931
## 36 0.92477738 0.9911262
## 37 0.92631528 0.9925503
## 38 0.92782518 0.9938981
## 39 0.92930694 0.9951733
## 40 0.93076048 0.9963797
## 41 0.10601002 0.1829927
## 42 0.55197972 0.6247124
## 43 0.67792992 0.7457521
## 44 0.75062744 0.8113037
## 45 0.79583210 0.8514949
## 46 0.82609543 0.8782654
## 47 0.84773542 0.8970957
## 48 0.86398086 0.9109109
## 49 0.87659698 0.9214209
## 50 0.88663099 0.9296814
## 51 0.89422100 0.9359328
## 52 0.90095507 0.9415619
## 53 0.90649482 0.9463444
## 54 0.91105428 0.9504890
## 55 0.91478608 0.9541394
## 56 0.91780398 0.9573969
## 57 0.92019820 0.9603355
## 58 0.92204510 0.9630126
## 59 0.92341223 0.9654767
## 60 0.92349498 0.9656463
## 61 0.92357744 0.9658156
## 62 0.92462710 0.9679879
## 63 0.92564905 0.9700940
## 64 0.92665772 0.9721223
## 65 0.92766235 0.9740662
## 66 0.92874607 0.9760618
## 67 0.92975726 0.9778235
## 68 0.93077443 0.9794985
## 69 0.93179768 0.9810889
## 70 0.93282640 0.9825978
## 71 0.93393909 0.9841353
## 72 0.93497533 0.9854855
## 73 0.93601294 0.9867648
## 74 0.93705033 0.9879769
## 75 0.93808595 0.9891252
## 76 0.93919752 0.9902944
## 77 0.94022475 0.9913211
## 78 0.94124584 0.9922940
## 79 0.94225958 0.9932163
## 80 0.94334179 0.9941559
##
## $coverage_based
## Assemblage SC m Method Order.q qD qD.LCL
## 1 Girdled 0.1223268 1 Rarefaction 0 1.000000 0.8500318
## 2 Girdled 0.5969305 10 Rarefaction 0 6.478611 5.0700192
## 3 Girdled 0.7380650 19 Rarefaction 0 9.450319 7.3749379
## 4 Girdled 0.8034337 28 Rarefaction 0 11.514219 8.8846781
## 5 Girdled 0.8389628 37 Rarefaction 0 13.126816 9.9535223
## 6 Girdled 0.8623492 47 Rarefaction 0 14.622425 10.8077387
## 7 Girdled 0.8760358 56 Rarefaction 0 15.802851 11.3833870
## 8 Girdled 0.8858194 65 Rarefaction 0 16.877170 11.8477522
## 9 Girdled 0.8931774 74 Rarefaction 0 17.873934 12.2423897
## 10 Girdled 0.8995141 84 Rarefaction 0 18.912361 12.6132022
## 11 Girdled 0.9041168 93 Rarefaction 0 19.797701 12.8657609
## 12 Girdled 0.9080200 102 Rarefaction 0 20.644611 13.0303640
## 13 Girdled 0.9114464 111 Rarefaction 0 21.458439 13.0990699
## 14 Girdled 0.9145496 120 Rarefaction 0 22.242813 13.0740912
## 15 Girdled 0.9177469 130 Rarefaction 0 23.082756 13.0283066
## 16 Girdled 0.9204781 139 Rarefaction 0 23.812027 12.9677808
## 17 Girdled 0.9231226 148 Rarefaction 0 24.517096 12.8859308
## 18 Girdled 0.9257162 157 Rarefaction 0 25.198591 12.7802226
## 19 Girdled 0.9285714 166 Rarefaction 0 25.867399 12.5708246
## 20 Girdled 0.9288554 168 Observed 0 26.000000 12.6171713
## 21 Girdled 0.9291383 169 Extrapolation 0 26.071145 12.5959007
## 22 Girdled 0.9313612 177 Extrapolation 0 26.630211 12.4598142
## 23 Girdled 0.9337788 186 Extrapolation 0 27.238226 12.3056808
## 24 Girdled 0.9361112 195 Extrapolation 0 27.824825 12.1510558
## 25 Girdled 0.9383615 204 Extrapolation 0 28.390763 11.9968014
## 26 Girdled 0.9402951 212 Extrapolation 0 28.877064 11.8611664
## 27 Girdled 0.9423979 221 Extrapolation 0 29.405941 11.7103885
## 28 Girdled 0.9444268 230 Extrapolation 0 29.916190 11.5612114
## 29 Girdled 0.9463841 239 Extrapolation 0 30.408468 11.4131183
## 30 Girdled 0.9482726 248 Extrapolation 0 30.883406 11.2715671
## 31 Girdled 0.9498953 256 Extrapolation 0 31.291513 11.1474359
## 32 Girdled 0.9516600 265 Extrapolation 0 31.735349 11.0163799
## 33 Girdled 0.9533626 274 Extrapolation 0 32.163554 10.9086999
## 34 Girdled 0.9550052 283 Extrapolation 0 32.576676 10.7812090
## 35 Girdled 0.9565900 292 Extrapolation 0 32.975248 10.6527326
## 36 Girdled 0.9579518 300 Extrapolation 0 33.317733 10.5380069
## 37 Girdled 0.9594328 309 Extrapolation 0 33.690203 10.4099278
## 38 Girdled 0.9608616 318 Extrapolation 0 34.049555 10.2825440
## 39 Girdled 0.9622401 327 Extrapolation 0 34.396250 10.1565957
## 40 Girdled 0.9635701 336 Extrapolation 0 34.730733 10.0324452
## 41 Logged 0.1445014 1 Rarefaction 0 1.000000 0.8394948
## 42 Logged 0.5883460 14 Rarefaction 0 8.353325 6.7553127
## 43 Logged 0.7118410 28 Rarefaction 0 13.222439 10.9641118
## 44 Logged 0.7809655 42 Rarefaction 0 16.765522 13.8980209
## 45 Logged 0.8236635 56 Rarefaction 0 19.532847 16.0797695
## 46 Logged 0.8521804 70 Rarefaction 0 21.804005 17.7850317
## 47 Logged 0.8724155 84 Rarefaction 0 23.734512 19.1809698
## 48 Logged 0.8874459 98 Rarefaction 0 25.418157 20.3674222
## 49 Logged 0.8990090 112 Rarefaction 0 26.915446 21.4004182
## 50 Logged 0.9081562 126 Rarefaction 0 28.267511 22.3078794
## 51 Logged 0.9150769 139 Rarefaction 0 29.418557 23.0390516
## 52 Logged 0.9212585 153 Rarefaction 0 30.565959 23.6619019
## 53 Logged 0.9264196 167 Rarefaction 0 31.633750 23.9612548
## 54 Logged 0.9307716 181 Rarefaction 0 32.634745 24.0424262
## 55 Logged 0.9344627 195 Rarefaction 0 33.579250 24.0245061
## 56 Logged 0.9376004 209 Rarefaction 0 34.475786 23.9547269
## 57 Logged 0.9402668 223 Rarefaction 0 35.331543 23.8104906
## 58 Logged 0.9425289 237 Rarefaction 0 36.152671 23.6886411
## 59 Logged 0.9444444 250 Rarefaction 0 36.892629 23.5841318
## 60 Logged 0.9445706 252 Observed 0 37.000000 23.6365835
## 61 Logged 0.9446965 253 Extrapolation 0 37.055429 23.6329084
## 62 Logged 0.9463075 266 Extrapolation 0 37.764657 23.6032756
## 63 Logged 0.9478715 279 Extrapolation 0 38.453226 23.5582481
## 64 Logged 0.9493900 292 Extrapolation 0 39.121736 23.5029145
## 65 Logged 0.9508643 305 Extrapolation 0 39.770774 23.4412447
## 66 Logged 0.9524039 319 Extrapolation 0 40.448609 23.3692544
## 67 Logged 0.9537904 332 Extrapolation 0 41.058995 23.3048042
## 68 Logged 0.9551365 345 Extrapolation 0 41.651601 23.2306076
## 69 Logged 0.9564433 358 Extrapolation 0 42.226944 23.1456322
## 70 Logged 0.9577121 371 Extrapolation 0 42.785528 23.0715471
## 71 Logged 0.9590372 385 Extrapolation 0 43.368897 22.9807351
## 72 Logged 0.9602304 398 Extrapolation 0 43.894216 22.8941139
## 73 Logged 0.9613889 411 Extrapolation 0 44.404233 22.8076986
## 74 Logged 0.9625136 424 Extrapolation 0 44.899393 22.7183853
## 75 Logged 0.9636056 437 Extrapolation 0 45.380130 22.6277502
## 76 Logged 0.9647460 451 Extrapolation 0 45.882197 22.5294489
## 77 Logged 0.9657729 464 Extrapolation 0 46.334305 22.4371179
## 78 Logged 0.9667699 477 Extrapolation 0 46.773243 22.3440283
## 79 Logged 0.9677379 490 Extrapolation 0 47.199395 22.2505833
## 80 Logged 0.9687488 504 Extrapolation 0 47.644456 22.1499537
## qD.UCL
## 1 1.149968
## 2 7.887204
## 3 11.525699
## 4 14.143760
## 5 16.300110
## 6 18.437112
## 7 20.222315
## 8 21.906587
## 9 23.505479
## 10 25.211521
## 11 26.729642
## 12 28.258858
## 13 29.817808
## 14 31.411536
## 15 33.137206
## 16 34.656273
## 17 36.148261
## 18 37.616959
## 19 39.163974
## 20 39.382829
## 21 39.546388
## 22 40.800608
## 23 42.170770
## 24 43.498594
## 25 44.784725
## 26 45.892961
## 27 47.101493
## 28 48.271168
## 29 49.403817
## 30 50.495246
## 31 51.435589
## 32 52.454319
## 33 53.418408
## 34 54.372143
## 35 55.297763
## 36 56.097459
## 37 56.970479
## 38 57.816566
## 39 58.635904
## 40 59.429022
## 41 1.160505
## 42 9.951337
## 43 15.480767
## 44 19.633022
## 45 22.985925
## 46 25.822979
## 47 28.288054
## 48 30.468892
## 49 32.430474
## 50 34.227142
## 51 35.798062
## 52 37.470016
## 53 39.306245
## 54 41.227063
## 55 43.133994
## 56 44.996844
## 57 46.852596
## 58 48.616700
## 59 50.201126
## 60 50.363416
## 61 50.477950
## 62 51.926039
## 63 53.348203
## 64 54.740558
## 65 56.100302
## 66 57.527964
## 67 58.813186
## 68 60.072594
## 69 61.308256
## 70 62.499509
## 71 63.757058
## 72 64.894318
## 73 66.000767
## 74 67.080401
## 75 68.132510
## 76 69.234945
## 77 70.231492
## 78 71.202458
## 79 72.148207
## 80 73.138959
## Assemblage Diversity Observed Estimator s.e. LCL
## 1 Girdled Species richness 26.000000 43.892857 30.5007636 26.000000
## 2 Girdled Shannon diversity 12.059650 13.826253 1.4061437 11.070262
## 3 Girdled Simpson diversity 7.840000 8.174825 0.8923487 6.425854
## 4 Logged Species richness 37.000000 61.402778 24.8546710 37.000000
## 5 Logged Shannon diversity 14.421002 16.337069 1.7083806 12.988704
## 6 Logged Simpson diversity 6.761499 6.920350 0.8779039 5.199690
## UCL
## 1 103.673255
## 2 16.582244
## 3 9.923797
## 4 110.117038
## 5 19.685433
## 6 8.641010
Rarefaction/extrapolation
Get new values
We can specify the sample size for which we want to rarefy/extrapolate For Species richness, the extrapolation is reliable up to double the reference sample. For q = 1 or 2, the extrapolation can be extended to the asymptote.
We run the code simultaneously for the three Hill numbers:
# We define the number of samples size that we want to use for estimation
m <- c(1, 50, 100, 200, 400)
example2 <- iNEXT(spider, q = c(0,1,2), datatype = "abundance", size = m)
example2$iNextEst ## $size_based
## Assemblage m Method Order.q qD qD.LCL qD.UCL SC
## 1 Girdled 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1223268
## 2 Girdled 50 Rarefaction 0 15.030098 13.246432 16.813765 0.8674807
## 3 Girdled 100 Rarefaction 0 20.459426 17.395976 23.522876 0.9072004
## 4 Girdled 167 Rarefaction 0 25.928571 21.469467 30.387676 0.9285714
## 5 Girdled 168 Observed 0 26.000000 21.519907 30.480093 0.9288554
## 6 Girdled 169 Extrapolation 0 26.071145 21.570004 30.572285 0.9291383
## 7 Girdled 200 Extrapolation 0 28.141739 22.950764 33.332713 0.9373713
## 8 Girdled 400 Extrapolation 0 36.792837 25.611453 47.974222 0.9717693
## 9 Girdled 1 Rarefaction 1 1.000000 1.000000 1.000000 0.1223268
## 10 Girdled 50 Rarefaction 1 9.939329 8.490555 11.388103 0.8674807
## 11 Girdled 100 Rarefaction 1 11.266546 9.464342 13.068751 0.9072004
## 12 Girdled 167 Rarefaction 1 12.051422 10.031158 14.071686 0.9285714
## 13 Girdled 168 Observed 1 12.059650 10.037144 14.082157 0.9288554
## 14 Girdled 169 Extrapolation 1 12.067840 10.043102 14.092579 0.9291383
## 15 Girdled 200 Extrapolation 1 12.303742 10.214908 14.392576 0.9373713
## 16 Girdled 400 Extrapolation 1 13.225154 10.875620 15.574688 0.9717693
## 17 Girdled 1 Rarefaction 2 1.000000 1.000000 1.000000 0.1223268
## 18 Girdled 50 Rarefaction 2 7.148973 5.818385 8.479560 0.8674807
## 19 Girdled 100 Rarefaction 2 7.627561 6.105150 9.149972 0.9072004
## 20 Girdled 167 Rarefaction 2 7.838078 6.227365 9.448790 0.9285714
## 21 Girdled 168 Observed 2 7.840000 6.228470 9.451530 0.9288554
## 22 Girdled 169 Extrapolation 2 7.841901 6.229562 9.454239 0.9291383
## 23 Girdled 200 Extrapolation 2 7.891717 6.258121 9.525312 0.9373713
## 24 Girdled 400 Extrapolation 2 8.030777 6.337132 9.724421 0.9717693
## 25 Logged 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1445014
## 26 Logged 50 Rarefaction 0 18.420022 16.861208 19.978836 0.8076088
## 27 Logged 100 Rarefaction 0 25.642342 22.716162 28.568521 0.8892800
## 28 Logged 200 Rarefaction 0 33.904551 28.227002 39.582100 0.9356422
## 29 Logged 251 Rarefaction 0 36.944444 30.009496 43.879393 0.9444444
## 30 Logged 252 Observed 0 37.000000 30.041241 43.958759 0.9445706
## 31 Logged 253 Extrapolation 0 37.055429 30.072885 44.037974 0.9446965
## 32 Logged 400 Extrapolation 0 43.973665 33.672201 54.275129 0.9604109
## 33 Logged 1 Rarefaction 1 1.000000 1.000000 1.000000 0.1445014
## 34 Logged 50 Rarefaction 1 10.747324 9.041503 12.453145 0.8076088
## 35 Logged 100 Rarefaction 1 12.648884 10.497810 14.799958 0.8892800
## 36 Logged 200 Rarefaction 1 14.053826 11.516492 16.591160 0.9356422
## 37 Logged 251 Rarefaction 1 14.415055 11.764026 17.066084 0.9444444
## 38 Logged 252 Observed 1 14.421002 11.768043 17.073960 0.9445706
## 39 Logged 253 Extrapolation 1 14.426930 11.772046 17.081813 0.9446965
## 40 Logged 400 Extrapolation 1 15.125810 12.236196 18.015425 0.9604109
## 41 Logged 1 Rarefaction 2 1.000000 1.000000 1.000000 0.1445014
## 42 Logged 50 Rarefaction 2 6.187685 4.679267 7.696103 0.8076088
## 43 Logged 100 Rarefaction 2 6.533542 4.814394 8.252689 0.8892800
## 44 Logged 200 Rarefaction 2 6.721385 4.880071 8.562700 0.9356422
## 45 Logged 251 Rarefaction 2 6.760881 4.893159 8.628603 0.9444444
## 46 Logged 252 Observed 2 6.761499 4.893362 8.629637 0.9445706
## 47 Logged 253 Extrapolation 2 6.762113 4.893563 8.630662 0.9446965
## 48 Logged 400 Extrapolation 2 6.819417 4.912085 8.726748 0.9604109
## SC.LCL SC.UCL
## 1 0.09287958 0.1517740
## 2 0.83413790 0.9008234
## 3 0.88025478 0.9341460
## 4 0.89783656 0.9593063
## 5 0.89800116 0.9597097
## 6 0.89816526 0.9601114
## 7 0.90319112 0.9715515
## 8 0.93478295 1.0000000
## 9 0.09287958 0.1517740
## 10 0.83413790 0.9008234
## 11 0.88025478 0.9341460
## 12 0.89783656 0.9593063
## 13 0.89800116 0.9597097
## 14 0.89816526 0.9601114
## 15 0.90319112 0.9715515
## 16 0.93478295 1.0000000
## 17 0.09287958 0.1517740
## 18 0.83413790 0.9008234
## 19 0.88025478 0.9341460
## 20 0.89783656 0.9593063
## 21 0.89800116 0.9597097
## 22 0.89816526 0.9601114
## 23 0.90319112 0.9715515
## 24 0.93478295 1.0000000
## 25 0.10701383 0.1819889
## 26 0.77561111 0.8396065
## 27 0.85695509 0.9216049
## 28 0.90690965 0.9643747
## 29 0.91634417 0.9725447
## 30 0.91646780 0.9726735
## 31 0.91659102 0.9728021
## 32 0.93241296 0.9884088
## 33 0.10701383 0.1819889
## 34 0.77561111 0.8396065
## 35 0.85695509 0.9216049
## 36 0.90690965 0.9643747
## 37 0.91634417 0.9725447
## 38 0.91646780 0.9726735
## 39 0.91659102 0.9728021
## 40 0.93241296 0.9884088
## 41 0.10701383 0.1819889
## 42 0.77561111 0.8396065
## 43 0.85695509 0.9216049
## 44 0.90690965 0.9643747
## 45 0.91634417 0.9725447
## 46 0.91646780 0.9726735
## 47 0.91659102 0.9728021
## 48 0.93241296 0.9884088
##
## $coverage_based
## Assemblage SC m Method Order.q qD qD.LCL
## 1 Girdled 0.1223268 1 Rarefaction 0 1.000000 0.9003334
## 2 Girdled 0.8674806 50 Rarefaction 0 15.030097 11.1541922
## 3 Girdled 0.9072004 100 Rarefaction 0 20.459428 13.3995997
## 4 Girdled 0.9285714 166 Rarefaction 0 25.867399 11.3239244
## 5 Girdled 0.9288554 168 Observed 0 26.000000 11.3311980
## 6 Girdled 0.9291383 169 Extrapolation 0 26.071145 11.2770024
## 7 Girdled 0.9373713 200 Extrapolation 0 28.141739 9.7391380
## 8 Girdled 0.9717693 400 Extrapolation 0 36.792837 1.3717461
## 9 Girdled 0.1223268 1 Rarefaction 1 1.000000 0.9043263
## 10 Girdled 0.8674806 50 Rarefaction 1 9.939329 8.0080648
## 11 Girdled 0.9072004 100 Rarefaction 1 11.266547 8.9266383
## 12 Girdled 0.9285714 166 Rarefaction 1 12.044343 9.4378419
## 13 Girdled 0.9288554 168 Observed 1 12.059650 9.4504261
## 14 Girdled 0.9291383 169 Extrapolation 1 12.067840 9.4552393
## 15 Girdled 0.9373713 200 Extrapolation 1 12.303742 9.6461904
## 16 Girdled 0.9717693 400 Extrapolation 1 13.225154 10.4972318
## 17 Girdled 0.1223268 1 Rarefaction 2 1.000000 0.9099178
## 18 Girdled 0.8674806 50 Rarefaction 2 7.148972 5.7276682
## 19 Girdled 0.9072004 100 Rarefaction 2 7.627561 6.0321949
## 20 Girdled 0.9285714 166 Rarefaction 2 7.836419 6.1954009
## 21 Girdled 0.9288554 168 Observed 2 7.840000 6.1987144
## 22 Girdled 0.9291383 169 Extrapolation 2 7.841901 6.2000624
## 23 Girdled 0.9373713 200 Extrapolation 2 7.891717 6.2457318
## 24 Girdled 0.9717693 400 Extrapolation 2 8.030777 6.3536919
## 25 Logged 0.1445014 1 Rarefaction 0 1.000000 0.7759333
## 26 Logged 0.8076089 50 Rarefaction 0 18.420025 14.9643089
## 27 Logged 0.8892800 100 Rarefaction 0 25.642343 18.7557765
## 28 Logged 0.9356422 200 Rarefaction 0 33.904552 19.3730809
## 29 Logged 0.9444444 250 Rarefaction 0 36.892629 20.3694205
## 30 Logged 0.9445706 252 Observed 0 37.000000 20.4503149
## 31 Logged 0.9446965 253 Extrapolation 0 37.055429 20.4778334
## 32 Logged 0.9604109 400 Extrapolation 0 43.973665 23.8506008
## 33 Logged 0.1445014 1 Rarefaction 1 1.000000 0.7842984
## 34 Logged 0.8076089 50 Rarefaction 1 10.747325 8.7054960
## 35 Logged 0.8892800 100 Rarefaction 1 12.648884 10.0051209
## 36 Logged 0.9356422 200 Rarefaction 1 14.053826 10.8331226
## 37 Logged 0.9444444 250 Rarefaction 1 14.409488 11.1063114
## 38 Logged 0.9445706 252 Observed 1 14.421002 11.1168543
## 39 Logged 0.9446965 253 Extrapolation 1 14.426930 11.1216863
## 40 Logged 0.9604109 400 Extrapolation 1 15.125810 11.7451952
## 41 Logged 0.1445014 1 Rarefaction 2 1.000000 0.7960806
## 42 Logged 0.8076089 50 Rarefaction 2 6.187685 4.6388922
## 43 Logged 0.8892800 100 Rarefaction 2 6.533542 4.7632037
## 44 Logged 0.9356422 200 Rarefaction 2 6.721385 4.8362569
## 45 Logged 0.9444444 250 Rarefaction 2 6.760301 4.8616709
## 46 Logged 0.9445706 252 Observed 2 6.761499 4.8626524
## 47 Logged 0.9446965 253 Extrapolation 2 6.762113 4.8630697
## 48 Logged 0.9604109 400 Extrapolation 2 6.819417 4.8989998
## qD.UCL
## 1 1.099667
## 2 18.906002
## 3 27.519257
## 4 40.410874
## 5 40.668802
## 6 40.865287
## 7 46.544339
## 8 72.213929
## 9 1.095674
## 10 11.870593
## 11 13.606455
## 12 14.650844
## 13 14.668875
## 14 14.680442
## 15 14.961293
## 16 15.953076
## 17 1.090082
## 18 8.570277
## 19 9.222927
## 20 9.477437
## 21 9.481286
## 22 9.483739
## 23 9.537702
## 24 9.707861
## 25 1.224067
## 26 21.875741
## 27 32.528910
## 28 48.436022
## 29 53.415837
## 30 53.549685
## 31 53.633025
## 32 64.096729
## 33 1.215702
## 34 12.789155
## 35 15.292648
## 36 17.274530
## 37 17.712664
## 38 17.725149
## 39 17.732173
## 40 18.506425
## 41 1.203919
## 42 7.736478
## 43 8.303880
## 44 8.606514
## 45 8.658931
## 46 8.660346
## 47 8.661156
## 48 8.739834
Plotting
Plot for an iNEXT object created previously Rarefaction/extrapolation curves for q = 0
Rarefaction/extrapolation curves for sample size for all 3 numbers divided by site
Rarefaction/extrapolation curves for sample size separated by “order” (q)
We can also work with sample coverage
Define at which sample size you want to compare your samples.
Results: for the three hill numbers, order 0, 1,2. For all of them is interpolated or extrapolated as requested and we get the values in qD with lower and upper confidence intervals. These values are now fully comparable
Use max value of the biggest sample size
inext_spiders <- iNEXT(spider, q = 0, datatype = "abundance")
info_spiders <- inext_spiders$DataInfo
max(info_spiders$n)## [1] 252
estINEXTsize <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
conf = 0.95)
estINEXTsize## Assemblage m Method Order.q SC qD qD.LCL qD.UCL
## 1 Girdled 252 Extrapolation 0 0.9490904 31.089085 24.168159 38.010012
## 2 Girdled 252 Extrapolation 1 0.9490904 12.630557 10.462532 14.798582
## 3 Girdled 252 Extrapolation 2 0.9490904 7.948519 6.508256 9.388781
## 4 Logged 252 Observed 0 0.9445706 37.000000 31.220836 42.779164
## 5 Logged 252 Observed 1 0.9445706 14.421002 11.773039 17.068964
## 6 Logged 252 Observed 2 0.9445706 6.761499 5.237905 8.285093
Use max sample coverage
## [1] 0.9446
estINEXTcov <- estimateD(spider, datatype = "abundance", base = "coverage", level = .945,
conf = 0.95)
estINEXTcov## Assemblage m Method Order.q SC qD qD.LCL qD.UCL
## 1 Girdled 232.6025 Extrapolation 0 0.945 30.060357 14.640038 45.480676
## 2 Girdled 232.6025 Extrapolation 1 0.945 12.517775 9.615054 15.420496
## 3 Girdled 232.6025 Extrapolation 2 0.945 7.930211 6.034990 9.825432
## 4 Logged 255.4196 Extrapolation 0 0.945 37.189028 22.514231 51.863825
## 5 Logged 255.4196 Extrapolation 1 0.945 14.441198 12.007748 16.874648
## 6 Logged 255.4196 Extrapolation 2 0.945 6.763578 5.482310 8.044846
Now we can compare Species richness standardized for the same level of sample size for each habitat (sample)
estINEXTcover2 <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
conf = 0.95)
habitat <- factor(c("Girdled", "Logged"))
# plot simple
mysub <- subset(estINEXTcover2, estINEXTcover2$Order.q == 0 )
plot(mysub$qD ~ habitat, border = c("green4", "red"),
xlab = "Habitats", ylab = "Est. Species richness")# plot with confidence interval in ggplot
ggplot(mysub, aes(x = habitat, y = qD)) +
geom_point(colour = c("green4", "red"), size = 5) +
geom_errorbar(aes(ymin = qD.LCL, ymax = qD.UCL),
colour = c("green4", "red"),
width = 0.2) +
xlab("Habitats") +
ylab("Est. Species richness") +
theme_bw() SPATIAL ANALYSIS OF DIVERSITY
BIRD DATA
How does urbanization affect species richness?
Load data
# Bird data
bird_data <- read.csv(here("data","data_berlin","animal_data",
"Birds_Berlin_exercise_planillo2021.csv") )
head(bird_data)## Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## 1 0 0 0
## 2 0 0 0
## 3 0 0 0
## 4 0 3 0
## 5 0 0 0
## 6 0 2 5
## Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## 1 0 0 0 0
## 2 0 1 0 0
## 3 0 0 0 0
## 4 4 2 0 0
## 5 0 2 2 11
## 6 5 0 9 1
## Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## 1 15 0 0 1
## 2 21 0 0 1
## 3 4 0 0 0
## 4 0 1 0 2
## 5 0 1 1 1
## 6 0 0 1 1
## Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## 1 2 0 0
## 2 11 11 0
## 3 7 4 0
## 4 2 3 0
## 5 6 2 0
## 6 2 4 0
## Coccothraustes_coccothraustes Columba_livia Columba_oenas Columba_palumbus
## 1 0 1 0 18
## 2 0 0 0 23
## 3 0 5 0 17
## 4 1 0 5 10
## 5 1 0 0 5
## 6 1 0 0 2
## Corvus_corax Corvus_corone Cuculus_canorus Parus_caeruleus Delichon_urbicum
## 1 0 10 0 9 0
## 2 0 11 0 25 0
## 3 0 2 0 18 0
## 4 0 10 2 19 0
## 5 1 6 1 18 0
## 6 0 1 1 7 0
## Dendrocopos_major Dendrocopos_medius Dryocopus_martius Emberiza_citrinella
## 1 0 0 0 0
## 2 8 0 0 0
## 3 1 0 0 0
## 4 10 7 1 0
## 5 4 0 0 20
## 6 4 0 0 8
## Emberiza_schoeniclus Erithacus_rubecula Falco_tinnunculus Ficedula_hypoleuca
## 1 0 0 0 0
## 2 0 9 0 0
## 3 0 5 0 0
## 4 1 14 0 0
## 5 0 10 0 1
## 6 14 5 0 0
## Fringilla_coelebs Garrulus_glandarius Hippolais_icterina Hirundo_rustica
## 1 0 1 0 0
## 2 4 1 0 0
## 3 2 0 0 0
## 4 30 3 0 10
## 5 18 3 2 0
## 6 9 1 1 0
## Lanius_collurio Locustella_naevia Parus_cristatus Luscinia_megarhynchos
## 1 0 0 0 0
## 2 0 0 0 7
## 3 0 0 0 0
## 4 0 0 0 9
## 5 7 2 0 20
## 6 4 1 0 3
## Miliaria_calandra Motacilla_alba Motacilla_flava Muscicapa_striata
## 1 0 0 0 0
## 2 0 2 0 0
## 3 0 0 0 0
## 4 0 1 0 1
## 5 0 2 0 1
## 6 0 1 3 2
## Oriolus_oriolus Parus_major Passer_domesticus Passer_montanus Parus_ater
## 1 0 10 162 0 0
## 2 0 39 121 5 0
## 3 0 18 56 4 0
## 4 2 19 2 0 1
## 5 2 35 18 4 0
## 6 3 10 0 2 0
## Phoenicurus_ochruros Phoenicurus_phoenicurus Phylloscopus_collybita
## 1 0 0 0
## 2 5 7 4
## 3 4 2 0
## 4 0 0 13
## 5 1 6 13
## 6 2 2 5
## Phylloscopus_sibilatrix Phylloscopus_trochilus Pica_pica Picus_viridis
## 1 0 0 4 0
## 2 0 1 4 1
## 3 0 0 0 0
## 4 1 1 0 1
## 5 0 15 1 1
## 6 0 1 0 0
## Parus_palustris Prunella_modularis Regulus_ignicapilla Saxicola_torquatus
## 1 0 0 0 0
## 2 0 1 2 0
## 3 0 0 0 0
## 4 2 0 1 0
## 5 0 1 0 0
## 6 0 0 0 1
## Serinus_serinus Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris
## 1 0 0 0 2
## 2 5 3 0 13
## 3 0 4 0 11
## 4 0 21 0 36
## 5 0 1 0 6
## 6 0 1 0 6
## Sylvia_atricapilla Sylvia_borin Sylvia_communis Sylvia_curruca
## 1 2 0 0 1
## 2 26 0 0 4
## 3 10 0 0 0
## 4 28 1 1 0
## 5 24 5 4 1
## 6 7 0 0 0
## Troglodytes_troglodytes Turdus_merula Turdus_philomelos site
## 1 0 27 0 BE10
## 2 10 37 0 BE11
## 3 4 30 1 BE12
## 4 14 27 11 BE13
## 5 5 54 11 BE14
## 6 3 13 3 BE15
## 'data.frame': 29 obs. of 71 variables:
## $ Accipiter_gentilis : int 0 0 0 0 0 0 0 0 1 0 ...
## $ Acrocephalus_arundinaceus : int 0 0 0 3 0 2 0 0 0 0 ...
## $ Acrocephalus_palustris : int 0 0 0 0 0 5 0 3 4 0 ...
## $ Acrocephalus_scirpaceus : int 0 0 0 4 0 5 0 0 0 2 ...
## $ Aegithalos_caudatus : int 0 1 0 2 2 0 0 0 2 0 ...
## $ Alauda_arvensis : int 0 0 0 0 2 9 0 21 1 0 ...
## $ Anthus_trivialis : int 0 0 0 0 11 1 0 0 0 0 ...
## $ Apus_apus : int 15 21 4 0 0 0 0 0 3 12 ...
## $ Buteo_buteo : int 0 0 0 1 1 0 0 0 0 0 ...
## $ Carduelis_cannabina : int 0 0 0 0 1 1 0 3 1 0 ...
## $ Carduelis_carduelis : int 1 1 0 2 1 1 1 3 1 4 ...
## $ Carduelis_chloris : int 2 11 7 2 6 2 11 6 8 13 ...
## $ Certhia_brachydactyla : int 0 11 4 3 2 4 2 0 1 3 ...
## $ Certhia_familiaris : int 0 0 0 0 0 0 0 0 0 0 ...
## $ Coccothraustes_coccothraustes: int 0 0 0 1 1 1 0 0 0 1 ...
## $ Columba_livia : int 1 0 5 0 0 0 0 0 1 0 ...
## $ Columba_oenas : int 0 0 0 5 0 0 0 0 0 0 ...
## $ Columba_palumbus : int 18 23 17 10 5 2 16 7 13 15 ...
## $ Corvus_corax : int 0 0 0 0 1 0 0 0 1 0 ...
## $ Corvus_corone : int 10 11 2 10 6 1 4 4 8 10 ...
## $ Cuculus_canorus : int 0 0 0 2 1 1 0 3 1 0 ...
## $ Parus_caeruleus : int 9 25 18 19 18 7 20 4 18 15 ...
## $ Delichon_urbicum : int 0 0 0 0 0 0 0 0 2 0 ...
## $ Dendrocopos_major : int 0 8 1 10 4 4 0 0 3 3 ...
## $ Dendrocopos_medius : int 0 0 0 7 0 0 0 0 0 0 ...
## $ Dryocopus_martius : int 0 0 0 1 0 0 0 0 0 0 ...
## $ Emberiza_citrinella : int 0 0 0 0 20 8 0 14 4 0 ...
## $ Emberiza_schoeniclus : int 0 0 0 1 0 14 0 0 1 0 ...
## $ Erithacus_rubecula : int 0 9 5 14 10 5 0 0 4 4 ...
## $ Falco_tinnunculus : int 0 0 0 0 0 0 0 0 1 0 ...
## $ Ficedula_hypoleuca : int 0 0 0 0 1 0 0 0 0 4 ...
## $ Fringilla_coelebs : int 0 4 2 30 18 9 2 2 0 0 ...
## $ Garrulus_glandarius : int 1 1 0 3 3 1 2 2 0 3 ...
## $ Hippolais_icterina : int 0 0 0 0 2 1 0 5 1 2 ...
## $ Hirundo_rustica : int 0 0 0 10 0 0 0 0 1 0 ...
## $ Lanius_collurio : int 0 0 0 0 7 4 0 2 2 0 ...
## $ Locustella_naevia : int 0 0 0 0 2 1 0 2 2 0 ...
## $ Parus_cristatus : int 0 0 0 0 0 0 0 0 1 0 ...
## $ Luscinia_megarhynchos : int 0 7 0 9 20 3 10 6 18 5 ...
## $ Miliaria_calandra : int 0 0 0 0 0 0 0 8 0 0 ...
## $ Motacilla_alba : int 0 2 0 1 2 1 0 0 2 0 ...
## $ Motacilla_flava : int 0 0 0 0 0 3 0 0 0 0 ...
## $ Muscicapa_striata : int 0 0 0 1 1 2 0 0 1 3 ...
## $ Oriolus_oriolus : int 0 0 0 2 2 3 0 0 0 0 ...
## $ Parus_major : int 10 39 18 19 35 10 46 17 28 18 ...
## $ Passer_domesticus : int 162 121 56 2 18 0 104 0 88 90 ...
## $ Passer_montanus : int 0 5 4 0 4 2 6 4 8 8 ...
## $ Parus_ater : int 0 0 0 1 0 0 0 0 0 0 ...
## $ Phoenicurus_ochruros : int 0 5 4 0 1 2 7 0 4 6 ...
## $ Phoenicurus_phoenicurus : int 0 7 2 0 6 2 11 0 12 9 ...
## $ Phylloscopus_collybita : int 0 4 0 13 13 5 7 4 9 3 ...
## $ Phylloscopus_sibilatrix : int 0 0 0 1 0 0 0 0 0 0 ...
## $ Phylloscopus_trochilus : int 0 1 0 1 15 1 0 14 4 3 ...
## $ Pica_pica : int 4 4 0 0 1 0 4 2 5 7 ...
## $ Picus_viridis : int 0 1 0 1 1 0 0 1 0 1 ...
## $ Parus_palustris : int 0 0 0 2 0 0 0 0 0 0 ...
## $ Prunella_modularis : int 0 1 0 0 1 0 1 0 3 1 ...
## $ Regulus_ignicapilla : int 0 2 0 1 0 0 4 0 1 0 ...
## $ Saxicola_torquatus : int 0 0 0 0 0 1 0 2 0 0 ...
## $ Serinus_serinus : int 0 5 0 0 0 0 4 0 7 4 ...
## $ Sitta_europaea : int 0 3 4 21 1 1 0 0 0 3 ...
## $ Streptopelia_decaocto : int 0 0 0 0 0 0 0 0 0 6 ...
## $ Sturnus_vulgaris : int 2 13 11 36 6 6 19 10 17 34 ...
## $ Sylvia_atricapilla : int 2 26 10 28 24 7 14 12 15 7 ...
## $ Sylvia_borin : int 0 0 0 1 5 0 0 3 3 3 ...
## $ Sylvia_communis : int 0 0 0 1 4 0 0 23 0 1 ...
## $ Sylvia_curruca : int 1 4 0 0 1 0 7 3 4 4 ...
## $ Troglodytes_troglodytes : int 0 10 4 14 5 3 6 0 5 2 ...
## $ Turdus_merula : int 27 37 30 27 54 13 39 14 49 32 ...
## $ Turdus_philomelos : int 0 0 1 11 11 3 1 5 1 4 ...
## $ site : chr "BE10" "BE11" "BE12" "BE13" ...
## Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## Min. :0.0000 Min. :0.0000 Min. :0.0000
## 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:0.0000
## Median :0.0000 Median :0.0000 Median :0.0000
## Mean :0.1379 Mean :0.2414 Mean :0.4138
## 3rd Qu.:0.0000 3rd Qu.:0.0000 3rd Qu.:0.0000
## Max. :2.0000 Max. :3.0000 Max. :5.0000
## Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## Min. :0.0000 Min. :0.0000 Min. : 0.000 Min. : 0.0000
## 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.: 0.0000
## Median :0.0000 Median :0.0000 Median : 0.000 Median : 0.0000
## Mean :0.5517 Mean :0.7241 Mean : 1.172 Mean : 0.4483
## 3rd Qu.:0.0000 3rd Qu.:1.0000 3rd Qu.: 0.000 3rd Qu.: 0.0000
## Max. :5.0000 Max. :4.0000 Max. :21.000 Max. :11.0000
## Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## Min. : 0.000 Min. :0.0000 Min. :0.0000 Min. :0.000
## 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:0.000
## Median : 0.000 Median :0.0000 Median :0.0000 Median :1.000
## Mean : 5.069 Mean :0.1034 Mean :0.3103 Mean :1.517
## 3rd Qu.: 5.000 3rd Qu.:0.0000 3rd Qu.:0.0000 3rd Qu.:2.000
## Max. :37.000 Max. :1.0000 Max. :3.0000 Max. :6.000
## Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## Min. : 0.000 Min. : 0.000 Min. :0.0000
## 1st Qu.: 2.000 1st Qu.: 1.000 1st Qu.:0.0000
## Median : 6.000 Median : 3.000 Median :0.0000
## Mean : 6.276 Mean : 4.483 Mean :0.5172
## 3rd Qu.: 9.000 3rd Qu.: 9.000 3rd Qu.:0.0000
## Max. :19.000 Max. :12.000 Max. :6.0000
## Coccothraustes_coccothraustes Columba_livia Columba_oenas
## Min. : 0.000 Min. : 0.000 Min. :0.0000
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.:0.0000
## Median : 0.000 Median : 0.000 Median :0.0000
## Mean : 1.621 Mean : 2.586 Mean :0.4138
## 3rd Qu.: 1.000 3rd Qu.: 4.000 3rd Qu.:0.0000
## Max. :15.000 Max. :15.000 Max. :5.0000
## Columba_palumbus Corvus_corax Corvus_corone Cuculus_canorus
## Min. : 2.00 Min. :0.0000 Min. : 0.000 Min. :0.0000
## 1st Qu.:10.00 1st Qu.:0.0000 1st Qu.: 2.000 1st Qu.:0.0000
## Median :13.00 Median :0.0000 Median : 6.000 Median :0.0000
## Mean :13.07 Mean :0.1379 Mean : 6.586 Mean :0.3448
## 3rd Qu.:17.00 3rd Qu.:0.0000 3rd Qu.:10.000 3rd Qu.:0.0000
## Max. :32.00 Max. :1.0000 Max. :22.000 Max. :3.0000
## Parus_caeruleus Delichon_urbicum Dendrocopos_major Dendrocopos_medius
## Min. : 4 Min. :0.0000 Min. : 0.000 Min. :0.0000
## 1st Qu.:11 1st Qu.:0.0000 1st Qu.: 1.000 1st Qu.:0.0000
## Median :18 Median :0.0000 Median : 2.000 Median :0.0000
## Mean :19 Mean :0.2069 Mean : 5.517 Mean :0.3103
## 3rd Qu.:23 3rd Qu.:0.0000 3rd Qu.: 8.000 3rd Qu.:0.0000
## Max. :44 Max. :2.0000 Max. :36.000 Max. :7.0000
## Dryocopus_martius Emberiza_citrinella Emberiza_schoeniclus Erithacus_rubecula
## Min. :0.0000 Min. : 0.000 Min. : 0.0000 Min. : 0.000
## 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.: 0.0000 1st Qu.: 2.000
## Median :0.0000 Median : 0.000 Median : 0.0000 Median : 4.000
## Mean :0.2069 Mean : 1.862 Mean : 0.5517 Mean : 6.931
## 3rd Qu.:0.0000 3rd Qu.: 0.000 3rd Qu.: 0.0000 3rd Qu.:10.000
## Max. :2.0000 Max. :20.000 Max. :14.0000 Max. :35.000
## Falco_tinnunculus Ficedula_hypoleuca Fringilla_coelebs Garrulus_glandarius
## Min. :0.0000 Min. :0.000 Min. : 0.00 Min. :0.000
## 1st Qu.:0.0000 1st Qu.:0.000 1st Qu.: 0.00 1st Qu.:1.000
## Median :0.0000 Median :0.000 Median : 3.00 Median :1.000
## Mean :0.1724 Mean :1.345 Mean :11.86 Mean :1.793
## 3rd Qu.:0.0000 3rd Qu.:1.000 3rd Qu.:18.00 3rd Qu.:3.000
## Max. :1.0000 Max. :9.000 Max. :71.00 Max. :5.000
## Hippolais_icterina Hirundo_rustica Lanius_collurio Locustella_naevia
## Min. :0.0000 Min. : 0.0000 Min. :0.0000 Min. :0.0000
## 1st Qu.:0.0000 1st Qu.: 0.0000 1st Qu.:0.0000 1st Qu.:0.0000
## Median :0.0000 Median : 0.0000 Median :0.0000 Median :0.0000
## Mean :0.3793 Mean : 0.6552 Mean :0.5172 Mean :0.2414
## 3rd Qu.:0.0000 3rd Qu.: 0.0000 3rd Qu.:0.0000 3rd Qu.:0.0000
## Max. :5.0000 Max. :10.0000 Max. :7.0000 Max. :2.0000
## Parus_cristatus Luscinia_megarhynchos Miliaria_calandra Motacilla_alba
## Min. :0.0000 Min. : 0.000 Min. :0.0000 Min. :0.0000
## 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.:0.0000
## Median :0.0000 Median : 2.000 Median :0.0000 Median :0.0000
## Mean :0.8621 Mean : 4.069 Mean :0.2759 Mean :0.4138
## 3rd Qu.:0.0000 3rd Qu.: 7.000 3rd Qu.:0.0000 3rd Qu.:1.0000
## Max. :7.0000 Max. :20.000 Max. :8.0000 Max. :2.0000
## Motacilla_flava Muscicapa_striata Oriolus_oriolus Parus_major
## Min. :0.0000 Min. :0.0000 Min. :0.0000 Min. : 6.00
## 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:17.00
## Median :0.0000 Median :0.0000 Median :0.0000 Median :22.00
## Mean :0.1034 Mean :0.6207 Mean :0.2759 Mean :23.86
## 3rd Qu.:0.0000 3rd Qu.:1.0000 3rd Qu.:0.0000 3rd Qu.:29.00
## Max. :3.0000 Max. :4.0000 Max. :3.0000 Max. :52.00
## Passer_domesticus Passer_montanus Parus_ater Phoenicurus_ochruros
## Min. : 0.00 Min. : 0.000 Min. :0.0000 Min. : 0
## 1st Qu.: 14.00 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 1
## Median : 65.00 Median : 3.000 Median :0.0000 Median : 2
## Mean : 68.38 Mean : 3.828 Mean :0.5517 Mean : 4
## 3rd Qu.: 90.00 3rd Qu.: 6.000 3rd Qu.:0.0000 3rd Qu.: 5
## Max. :279.00 Max. :15.000 Max. :5.0000 Max. :21
## Phoenicurus_phoenicurus Phylloscopus_collybita Phylloscopus_sibilatrix
## Min. : 0.000 Min. : 0.000 Min. : 0.000
## 1st Qu.: 2.000 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 5.000 Median : 2.000 Median : 0.000
## Mean : 4.966 Mean : 3.517 Mean : 2.069
## 3rd Qu.: 8.000 3rd Qu.: 5.000 3rd Qu.: 1.000
## Max. :13.000 Max. :14.000 Max. :24.000
## Phylloscopus_trochilus Pica_pica Picus_viridis Parus_palustris
## Min. : 0.000 Min. : 0.000 Min. :0.0000 Min. : 0.0000
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 0.0000
## Median : 0.000 Median : 2.000 Median :0.0000 Median : 0.0000
## Mean : 1.483 Mean : 3.138 Mean :0.4483 Mean : 0.5517
## 3rd Qu.: 1.000 3rd Qu.: 5.000 3rd Qu.:1.0000 3rd Qu.: 0.0000
## Max. :15.000 Max. :10.000 Max. :1.0000 Max. :10.0000
## Prunella_modularis Regulus_ignicapilla Saxicola_torquatus Serinus_serinus
## Min. :0.0000 Min. : 0.000 Min. :0.0000 Min. : 0.000
## 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 0.000
## Median :0.0000 Median : 0.000 Median :0.0000 Median : 1.000
## Mean :0.5517 Mean : 1.552 Mean :0.1034 Mean : 2.103
## 3rd Qu.:1.0000 3rd Qu.: 2.000 3rd Qu.:0.0000 3rd Qu.: 4.000
## Max. :5.0000 Max. :12.000 Max. :2.0000 Max. :15.000
## Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris Sylvia_atricapilla
## Min. : 0.000 Min. :0.0000 Min. : 2.00 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 5.00 1st Qu.: 7.00
## Median : 1.000 Median :0.0000 Median : 8.00 Median :10.00
## Mean : 4.759 Mean :0.2069 Mean :10.52 Mean :10.83
## 3rd Qu.: 4.000 3rd Qu.:0.0000 3rd Qu.:13.00 3rd Qu.:13.00
## Max. :29.000 Max. :6.0000 Max. :36.00 Max. :28.00
## Sylvia_borin Sylvia_communis Sylvia_curruca Troglodytes_troglodytes
## Min. :0.0000 Min. : 0.000 Min. :0.000 Min. : 0.000
## 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.:0.000 1st Qu.: 0.000
## Median :0.0000 Median : 0.000 Median :2.000 Median : 3.000
## Mean :0.6207 Mean : 1.069 Mean :2.207 Mean : 6.034
## 3rd Qu.:0.0000 3rd Qu.: 0.000 3rd Qu.:3.000 3rd Qu.: 9.000
## Max. :5.0000 Max. :23.000 Max. :7.000 Max. :36.000
## Turdus_merula Turdus_philomelos site
## Min. :11.00 Min. : 0.000 Length:29
## 1st Qu.:18.00 1st Qu.: 0.000 Class :character
## Median :27.00 Median : 1.000 Mode :character
## Mean :29.34 Mean : 3.345
## 3rd Qu.:39.00 3rd Qu.: 5.000
## Max. :54.00 Max. :14.000
## Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## 1 0 0 0
## 2 0 0 0
## 3 0 0 0
## 4 0 3 0
## 5 0 0 0
## 6 0 2 5
## 7 0 0 0
## 8 0 0 3
## 9 1 0 4
## 10 0 0 0
## 11 2 0 0
## 12 0 0 0
## 13 1 0 0
## 14 0 0 0
## 15 0 0 0
## 16 0 0 0
## 17 0 0 0
## 18 0 0 0
## 19 0 0 0
## 20 0 0 0
## 21 0 0 0
## 22 0 2 0
## 23 0 0 0
## 24 0 0 0
## 25 0 0 0
## 26 0 0 0
## 27 0 0 0
## 28 0 0 0
## 29 0 0 0
## Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## 1 0 0 0 0
## 2 0 1 0 0
## 3 0 0 0 0
## 4 4 2 0 0
## 5 0 2 2 11
## 6 5 0 9 1
## 7 0 0 0 0
## 8 0 0 21 0
## 9 0 2 1 0
## 10 2 0 0 0
## 11 0 1 0 0
## 12 0 0 0 0
## 13 1 2 0 0
## 14 0 1 0 0
## 15 0 0 0 0
## 16 0 0 0 0
## 17 0 3 0 0
## 18 0 1 0 0
## 19 0 1 0 0
## 20 1 0 0 0
## 21 0 0 0 0
## 22 0 0 0 1
## 23 0 1 1 0
## 24 0 4 0 0
## 25 0 0 0 0
## 26 0 0 0 0
## 27 0 0 0 0
## 28 0 0 0 0
## 29 3 0 0 0
## Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## 1 15 0 0 1
## 2 21 0 0 1
## 3 4 0 0 0
## 4 0 1 0 2
## 5 0 1 1 1
## 6 0 0 1 1
## 7 0 0 0 1
## 8 0 0 3 3
## 9 3 0 1 1
## 10 12 0 0 4
## 11 0 0 0 0
## 12 4 0 0 0
## 13 3 0 0 2
## 14 5 0 0 3
## 15 5 0 0 3
## 16 0 0 0 6
## 17 12 0 0 1
## 18 0 0 0 0
## 19 19 0 3 0
## 20 0 1 0 2
## 21 0 0 0 1
## 22 0 0 0 1
## 23 0 0 0 1
## 24 0 0 0 0
## 25 5 0 0 0
## 26 2 0 0 1
## 27 37 0 0 2
## 28 0 0 0 6
## 29 0 0 0 0
## Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## 1 2 0 0
## 2 11 11 0
## 3 7 4 0
## 4 2 3 0
## 5 6 2 0
## 6 2 4 0
## 7 11 2 0
## 8 6 0 0
## 9 8 1 0
## 10 13 3 0
## 11 0 11 6
## 12 1 1 0
## 13 7 11 0
## 14 10 5 0
## 15 3 3 0
## 16 5 5 0
## 17 19 0 0
## 18 6 10 0
## 19 11 4 0
## 20 0 9 2
## 21 9 0 0
## 22 5 9 1
## 23 9 1 0
## 24 6 10 0
## 25 4 0 0
## 26 2 3 0
## 27 8 4 0
## 28 9 2 0
## 29 0 12 6
## Coccothraustes_coccothraustes Columba_livia Columba_oenas Columba_palumbus
## 1 0 1 0 18
## 2 0 0 0 23
## 3 0 5 0 17
## 4 1 0 5 10
## 5 1 0 0 5
## 6 1 0 0 2
## 7 0 0 0 16
## 8 0 0 0 7
## 9 0 1 0 13
## 10 1 0 0 15
## 11 15 0 2 12
## 12 0 4 0 6
## 13 8 0 0 15
## 14 0 15 0 18
## 15 0 13 0 18
## 16 0 0 0 11
## 17 0 0 0 10
## 18 0 2 0 13
## 19 2 1 0 17
## 20 3 0 3 6
## 21 0 3 0 15
## 22 3 2 0 5
## 23 0 0 0 18
## 24 5 0 1 19
## 25 0 7 0 11
## 26 0 9 0 10
## 27 0 8 0 32
## 28 0 4 0 12
## 29 7 0 1 5
## Corvus_corax Corvus_corone Cuculus_canorus Parus_caeruleus Delichon_urbicum
## 1 0 10 0 9 0
## 2 0 11 0 25 0
## 3 0 2 0 18 0
## 4 0 10 2 19 0
## 5 1 6 1 18 0
## 6 0 1 1 7 0
## 7 0 4 0 20 0
## 8 0 4 3 4 0
## 9 1 8 1 18 2
## 10 0 10 0 15 0
## 11 1 2 1 33 0
## 12 0 3 0 11 0
## 13 0 4 0 44 0
## 14 0 4 0 14 0
## 15 0 6 0 12 0
## 16 0 11 0 15 0
## 17 0 5 0 18 0
## 18 0 2 0 16 0
## 19 0 14 0 26 0
## 20 0 0 0 31 0
## 21 0 12 0 11 0
## 22 1 1 0 23 0
## 23 0 2 0 11 0
## 24 0 8 0 44 0
## 25 0 7 0 5 1
## 26 0 8 0 22 1
## 27 0 22 0 23 2
## 28 0 13 0 10 0
## 29 0 1 1 29 0
## Dendrocopos_major Dendrocopos_medius Dryocopus_martius Emberiza_citrinella
## 1 0 0 0 0
## 2 8 0 0 0
## 3 1 0 0 0
## 4 10 7 1 0
## 5 4 0 0 20
## 6 4 0 0 8
## 7 0 0 0 0
## 8 0 0 0 14
## 9 3 0 0 4
## 10 3 0 0 0
## 11 36 1 2 0
## 12 1 0 0 0
## 13 8 0 0 0
## 14 0 0 0 0
## 15 0 0 0 0
## 16 2 0 0 0
## 17 2 0 0 0
## 18 6 0 0 0
## 19 3 0 0 1
## 20 11 0 1 0
## 21 2 0 0 0
## 22 9 0 0 7
## 23 2 0 0 0
## 24 22 0 1 0
## 25 1 0 0 0
## 26 1 0 0 0
## 27 1 0 0 0
## 28 1 0 0 0
## 29 19 1 1 0
## Emberiza_schoeniclus Erithacus_rubecula Falco_tinnunculus Ficedula_hypoleuca
## 1 0 0 0 0
## 2 0 9 0 0
## 3 0 5 0 0
## 4 1 14 0 0
## 5 0 10 0 1
## 6 14 5 0 0
## 7 0 0 0 0
## 8 0 0 0 0
## 9 1 4 1 0
## 10 0 4 0 4
## 11 0 35 0 6
## 12 0 0 0 0
## 13 0 13 0 0
## 14 0 2 0 0
## 15 0 5 0 0
## 16 0 2 0 0
## 17 0 1 0 0
## 18 0 5 1 0
## 19 0 3 1 1
## 20 0 25 0 8
## 21 0 2 0 0
## 22 0 10 0 9
## 23 0 3 0 0
## 24 0 17 0 7
## 25 0 0 0 0
## 26 0 3 1 0
## 27 0 2 0 0
## 28 0 0 1 0
## 29 0 22 0 3
## Fringilla_coelebs Garrulus_glandarius Hippolais_icterina Hirundo_rustica
## 1 0 1 0 0
## 2 4 1 0 0
## 3 2 0 0 0
## 4 30 3 0 10
## 5 18 3 2 0
## 6 9 1 1 0
## 7 2 2 0 0
## 8 2 2 5 0
## 9 0 0 1 1
## 10 0 3 2 0
## 11 71 5 0 0
## 12 0 0 0 0
## 13 24 1 0 0
## 14 0 1 0 0
## 15 1 0 0 0
## 16 3 0 0 0
## 17 5 1 0 1
## 18 8 0 0 0
## 19 1 2 0 0
## 20 46 4 0 0
## 21 3 5 0 0
## 22 21 2 0 7
## 23 0 1 0 0
## 24 36 5 0 0
## 25 0 2 0 0
## 26 3 0 0 0
## 27 0 2 0 0
## 28 0 1 0 0
## 29 55 4 0 0
## Lanius_collurio Locustella_naevia Parus_cristatus Luscinia_megarhynchos
## 1 0 0 0 0
## 2 0 0 0 7
## 3 0 0 0 0
## 4 0 0 0 9
## 5 7 2 0 20
## 6 4 1 0 3
## 7 0 0 0 10
## 8 2 2 0 6
## 9 2 2 1 18
## 10 0 0 0 5
## 11 0 0 5 0
## 12 0 0 0 0
## 13 0 0 0 8
## 14 0 0 0 2
## 15 0 0 0 0
## 16 0 0 0 0
## 17 0 0 0 2
## 18 0 0 0 2
## 19 0 0 2 7
## 20 0 0 4 0
## 21 0 0 0 0
## 22 0 0 7 3
## 23 0 0 0 10
## 24 0 0 0 0
## 25 0 0 0 1
## 26 0 0 0 0
## 27 0 0 0 1
## 28 0 0 0 3
## 29 0 0 6 1
## Miliaria_calandra Motacilla_alba Motacilla_flava Muscicapa_striata
## 1 0 0 0 0
## 2 0 2 0 0
## 3 0 0 0 0
## 4 0 1 0 1
## 5 0 2 0 1
## 6 0 1 3 2
## 7 0 0 0 0
## 8 8 0 0 0
## 9 0 2 0 1
## 10 0 0 0 3
## 11 0 0 0 2
## 12 0 0 0 0
## 13 0 0 0 4
## 14 0 0 0 0
## 15 0 1 0 0
## 16 0 0 0 0
## 17 0 0 0 0
## 18 0 0 0 2
## 19 0 1 0 0
## 20 0 1 0 1
## 21 0 0 0 0
## 22 0 0 0 0
## 23 0 0 0 0
## 24 0 0 0 0
## 25 0 0 0 0
## 26 0 0 0 0
## 27 0 1 0 0
## 28 0 0 0 0
## 29 0 0 0 1
## Oriolus_oriolus Parus_major Passer_domesticus Passer_montanus Parus_ater
## 1 0 10 162 0 0
## 2 0 39 121 5 0
## 3 0 18 56 4 0
## 4 2 19 2 0 1
## 5 2 35 18 4 0
## 6 3 10 0 2 0
## 7 0 46 104 6 0
## 8 0 17 0 4 0
## 9 0 28 88 8 0
## 10 0 18 90 8 0
## 11 0 29 0 0 3
## 12 0 9 71 1 0
## 13 0 29 5 1 0
## 14 0 19 62 0 0
## 15 0 18 71 0 0
## 16 0 20 174 0 0
## 17 0 25 65 5 0
## 18 0 39 115 0 0
## 19 0 36 65 12 0
## 20 0 28 0 0 0
## 21 0 13 56 14 0
## 22 0 29 22 5 4
## 23 0 22 78 15 0
## 24 1 52 14 7 3
## 25 0 6 116 0 0
## 26 0 15 76 0 0
## 27 0 22 279 3 0
## 28 0 14 73 7 0
## 29 0 27 0 0 5
## Phoenicurus_ochruros Phoenicurus_phoenicurus Phylloscopus_collybita
## 1 0 0 0
## 2 5 7 4
## 3 4 2 0
## 4 0 0 13
## 5 1 6 13
## 6 2 2 5
## 7 7 11 7
## 8 0 0 4
## 9 4 12 9
## 10 6 9 3
## 11 0 0 1
## 12 1 3 0
## 13 3 13 14
## 14 19 5 0
## 15 21 3 0
## 16 4 3 0
## 17 2 9 5
## 18 2 5 1
## 19 3 9 1
## 20 0 1 2
## 21 10 5 0
## 22 1 8 11
## 23 1 9 1
## 24 2 7 3
## 25 5 0 0
## 26 2 5 0
## 27 5 2 0
## 28 6 6 2
## 29 0 2 3
## Phylloscopus_sibilatrix Phylloscopus_trochilus Pica_pica Picus_viridis
## 1 0 0 4 0
## 2 0 1 4 1
## 3 0 0 0 0
## 4 1 1 0 1
## 5 0 15 1 1
## 6 0 1 0 0
## 7 0 0 4 0
## 8 0 14 2 1
## 9 0 4 5 0
## 10 0 3 7 1
## 11 24 0 0 1
## 12 0 0 4 0
## 13 6 0 0 1
## 14 0 0 3 0
## 15 0 0 3 0
## 16 0 0 2 0
## 17 2 0 2 1
## 18 0 0 0 1
## 19 1 2 9 1
## 20 4 0 0 0
## 21 0 0 9 0
## 22 8 0 2 0
## 23 0 0 2 1
## 24 0 0 0 1
## 25 0 0 10 0
## 26 0 0 5 1
## 27 1 1 7 0
## 28 0 0 6 0
## 29 13 1 0 0
## Parus_palustris Prunella_modularis Regulus_ignicapilla Saxicola_torquatus
## 1 0 0 0 0
## 2 0 1 2 0
## 3 0 0 0 0
## 4 2 0 1 0
## 5 0 1 0 0
## 6 0 0 0 1
## 7 0 1 4 0
## 8 0 0 0 2
## 9 0 3 1 0
## 10 0 1 0 0
## 11 0 0 7 0
## 12 0 0 0 0
## 13 0 5 3 0
## 14 0 0 0 0
## 15 0 0 0 0
## 16 0 0 0 0
## 17 0 1 2 0
## 18 0 0 0 0
## 19 0 1 0 0
## 20 3 0 6 0
## 21 0 0 0 0
## 22 0 1 2 0
## 23 0 1 0 0
## 24 1 0 12 0
## 25 0 0 0 0
## 26 0 0 0 0
## 27 0 0 0 0
## 28 0 0 0 0
## 29 10 0 5 0
## Serinus_serinus Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris
## 1 0 0 0 2
## 2 5 3 0 13
## 3 0 4 0 11
## 4 0 21 0 36
## 5 0 1 0 6
## 6 0 1 0 6
## 7 4 0 0 19
## 8 0 0 0 10
## 9 7 0 0 17
## 10 4 3 6 34
## 11 0 29 0 2
## 12 1 1 0 5
## 13 15 6 0 19
## 14 3 0 0 3
## 15 1 0 0 4
## 16 0 3 0 9
## 17 2 0 0 7
## 18 1 4 0 19
## 19 5 0 0 12
## 20 0 18 0 3
## 21 0 1 0 18
## 22 4 5 0 7
## 23 0 0 0 2
## 24 0 23 0 8
## 25 2 0 0 5
## 26 3 0 0 8
## 27 0 1 0 11
## 28 4 0 0 7
## 29 0 14 0 2
## Sylvia_atricapilla Sylvia_borin Sylvia_communis Sylvia_curruca
## 1 2 0 0 1
## 2 26 0 0 4
## 3 10 0 0 0
## 4 28 1 1 0
## 5 24 5 4 1
## 6 7 0 0 0
## 7 14 0 0 7
## 8 12 3 23 3
## 9 15 3 0 4
## 10 7 3 1 4
## 11 9 0 0 0
## 12 6 0 0 2
## 13 20 0 0 3
## 14 7 0 0 3
## 15 4 0 0 1
## 16 8 0 0 1
## 17 10 0 0 0
## 18 10 0 0 3
## 19 3 0 2 4
## 20 11 0 0 0
## 21 6 2 0 5
## 22 12 0 0 3
## 23 13 1 0 7
## 24 13 0 0 3
## 25 0 0 0 0
## 26 8 0 0 1
## 27 10 0 0 1
## 28 5 0 0 3
## 29 14 0 0 0
## Troglodytes_troglodytes Turdus_merula Turdus_philomelos site
## 1 0 27 0 BE10
## 2 10 37 0 BE11
## 3 4 30 1 BE12
## 4 14 27 11 BE13
## 5 5 54 11 BE14
## 6 3 13 3 BE15
## 7 6 39 1 BE16
## 8 0 14 5 BE17
## 9 5 49 1 BE18
## 10 2 32 4 BE19
## 11 36 30 14 BE2
## 12 0 14 0 BE20
## 13 15 54 6 BE21
## 14 1 27 0 BE22
## 15 0 26 0 BE23
## 16 1 27 0 BE24
## 17 0 18 1 BE25
## 18 5 26 0 BE26
## 19 1 24 1 BE27
## 20 9 14 9 BE28
## 21 0 41 0 BE29
## 22 9 25 7 BE3
## 23 6 46 1 BE30
## 24 26 40 14 BE4
## 25 0 11 0 BE5
## 26 1 16 1 BE6
## 27 0 51 1 BE7
## 28 2 22 0 BE8
## 29 14 17 5 BE9
Get the Hill Number for species richness
iNext package uses the data in a specific format: Matrix with species in rows, sites in columns.
# get the data in the proper format
bird_data <- column_to_rownames(bird_data, "site")
bird_data <- t(bird_data)
# run inext function
birds_inext <- iNEXT(bird_data, q = 0, datatype = "abundance") # q = 0 -> species richness
#Show a summary of the data
birds_inext$DataInfo## Assemblage n S.obs SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
## 1 BE10 265 15 0.9850 4 3 0 1 0 0 0 0 1 2
## 2 BE11 423 32 0.9858 6 2 1 4 3 0 2 1 1 1
## 3 BE12 209 21 0.9906 2 3 0 6 2 0 1 0 0 1
## 4 BE13 333 42 0.9611 13 7 3 1 1 0 1 0 1 4
## 5 BE14 356 46 0.9608 14 7 1 3 3 4 1 0 0 1
## 6 BE15 157 41 0.9178 13 7 5 3 4 1 2 1 2 1
## 7 BE16 348 25 0.9914 3 3 0 4 0 2 3 0 0 1
## 8 BE17 209 31 0.9955 1 6 6 4 2 2 1 1 0 1
## 9 BE18 370 47 0.9568 16 5 4 6 2 0 1 3 1 0
## 10 BE19 345 37 0.9885 4 3 8 6 1 2 2 1 1 1
## 11 BE2 434 32 0.9862 6 6 1 0 2 2 1 0 1 0
## 12 BE20 149 20 0.9531 7 1 2 3 1 2 0 0 1 0
## 13 BE21 374 35 0.9867 5 2 4 2 2 3 1 3 0 0
## 14 BE22 232 23 0.9871 3 2 5 1 3 0 1 0 0 1
## 15 BE23 222 21 0.9820 4 0 5 2 2 1 0 0 0 0
## 16 BE24 312 20 0.9937 2 3 3 1 2 1 0 1 1 0
## 17 BE25 237 29 0.9707 7 7 1 0 4 0 1 0 1 2
## 18 BE26 305 26 0.9837 5 5 1 1 3 2 0 1 0 2
## 19 BE27 312 39 0.9584 13 5 5 2 1 0 1 0 2 0
## 20 BE28 267 30 0.9776 6 3 4 3 0 2 0 1 3 0
## 21 BE29 243 22 0.9919 2 3 2 0 3 1 0 0 2 1
## 22 BE3 294 40 0.9763 7 5 3 2 4 0 5 2 4 1
## 23 BE30 266 28 0.9588 11 4 1 0 0 1 1 0 2 1
## 24 BE4 415 32 0.9880 5 1 3 1 2 1 3 2 0 1
## 25 BE5 199 17 0.9850 3 2 0 1 4 1 2 0 0 1
## 26 BE6 208 26 0.9617 8 3 4 0 2 0 0 3 1 1
## 27 BE7 540 28 0.9852 8 5 1 1 1 0 1 2 0 1
## 28 BE8 219 24 0.9864 3 3 2 2 1 4 2 0 1 1
## 29 BE9 310 33 0.9742 8 2 3 1 4 2 1 0 0 1
#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
head(birds_inext$iNextEst)## $size_based
## Assemblage m Method Order.q qD qD.LCL qD.UCL
## 1 BE10 1 Rarefaction 0 1.000000 1.000000 1.000000
## 2 BE10 15 Rarefaction 0 5.138521 4.650761 5.626281
## 3 BE10 30 Rarefaction 0 7.261204 6.588280 7.934129
## 4 BE10 44 Rarefaction 0 8.493792 7.643835 9.343750
## 5 BE10 59 Rarefaction 0 9.433917 8.396477 10.471357
## 6 BE10 74 Rarefaction 0 10.164352 8.955522 11.373183
## 7 BE10 88 Rarefaction 0 10.736162 9.385293 12.087032
## 8 BE10 103 Rarefaction 0 11.274111 9.789432 12.758790
## 9 BE10 117 Rarefaction 0 11.727559 10.132990 13.322129
## 10 BE10 132 Rarefaction 0 12.174118 10.475175 13.873062
## 11 BE10 147 Rarefaction 0 12.587566 10.795405 14.379728
## 12 BE10 161 Rarefaction 0 12.947639 11.076388 14.818889
## 13 BE10 176 Rarefaction 0 13.308532 11.359030 15.258034
## 14 BE10 190 Rarefaction 0 13.623868 11.605832 15.641904
## 15 BE10 205 Rarefaction 0 13.940110 11.852015 16.028204
## 16 BE10 220 Rarefaction 0 14.235107 12.079156 16.391059
## 17 BE10 234 Rarefaction 0 14.492039 12.273725 16.710353
## 18 BE10 249 Rarefaction 0 14.748190 12.463119 17.033260
## 19 BE10 264 Rarefaction 0 14.984906 12.632187 17.337625
## 20 BE10 265 Observed 0 15.000000 12.642716 17.357284
## 21 BE10 266 Extrapolation 0 15.015009 12.653152 17.376866
## 22 BE10 279 Extrapolation 0 15.202582 12.780541 17.624624
## 23 BE10 293 Extrapolation 0 15.389716 12.901235 17.878197
## 24 BE10 307 Extrapolation 0 15.562580 13.005939 18.119221
## 25 BE10 321 Extrapolation 0 15.722262 13.095804 18.348719
## 26 BE10 335 Extrapolation 0 15.869767 13.171963 18.567571
## 27 BE10 349 Extrapolation 0 16.006024 13.235507 18.776541
## 28 BE10 363 Extrapolation 0 16.131891 13.287477 18.976304
## 29 BE10 377 Extrapolation 0 16.248159 13.328855 19.167464
## 30 BE10 391 Extrapolation 0 16.355562 13.360562 19.350561
## 31 BE10 404 Extrapolation 0 16.447945 13.382099 19.513791
## 32 BE10 418 Extrapolation 0 16.540113 13.397537 19.682689
## 33 BE10 432 Extrapolation 0 16.625252 13.405660 19.844844
## 34 BE10 446 Extrapolation 0 16.703899 13.407163 20.000634
## 35 BE10 460 Extrapolation 0 16.776548 13.402687 20.150409
## 36 BE10 474 Extrapolation 0 16.843658 13.392824 20.294491
## 37 BE10 488 Extrapolation 0 16.905650 13.378119 20.433180
## 38 BE10 502 Extrapolation 0 16.962915 13.359074 20.566756
## 39 BE10 516 Extrapolation 0 17.015813 13.336148 20.695477
## 40 BE10 530 Extrapolation 0 17.064677 13.309766 20.819587
## 41 BE11 1 Rarefaction 0 1.000000 1.000000 1.000000
## 42 BE11 24 Rarefaction 0 12.039825 11.400377 12.679273
## 43 BE11 47 Rarefaction 0 17.059840 16.068708 18.050973
## 44 BE11 71 Rarefaction 0 20.301219 19.048059 21.554378
## 45 BE11 94 Rarefaction 0 22.469926 21.013532 23.926321
## 46 BE11 117 Rarefaction 0 24.094760 22.453193 25.736327
## 47 BE11 141 Rarefaction 0 25.411433 23.581111 27.241755
## 48 BE11 164 Rarefaction 0 26.423742 24.411037 28.436447
## 49 BE11 188 Rarefaction 0 27.295731 25.089647 29.501815
## 50 BE11 211 Rarefaction 0 28.002310 25.608387 30.396233
## 51 BE11 234 Rarefaction 0 28.614707 26.031356 31.198058
## 52 BE11 258 Rarefaction 0 29.177696 26.395774 31.959617
## 53 BE11 281 Rarefaction 0 29.661529 26.688868 32.634189
## 54 BE11 305 Rarefaction 0 30.121871 26.949828 33.293914
## 55 BE11 328 Rarefaction 0 30.530064 27.166470 33.893657
## 56 BE11 351 Rarefaction 0 30.913169 27.357267 34.469071
## 57 BE11 375 Rarefaction 0 31.291853 27.534061 35.049645
## 58 BE11 398 Rarefaction 0 31.638444 27.685553 35.591335
## 59 BE11 422 Rarefaction 0 31.985816 27.827131 36.144500
## 60 BE11 423 Observed 0 32.000000 27.832683 36.167317
## 61 BE11 424 Extrapolation 0 32.014162 27.838207 36.190117
## 62 BE11 446 Extrapolation 0 32.320137 27.952708 36.687566
## 63 BE11 468 Extrapolation 0 32.615669 28.054231 37.177106
## 64 BE11 490 Extrapolation 0 32.901113 28.143504 37.658722
## 65 BE11 512 Extrapolation 0 33.176815 28.221283 38.132348
## 66 BE11 535 Extrapolation 0 33.454993 28.291133 38.618853
## 67 BE11 557 Extrapolation 0 33.711790 28.347759 39.075821
## 68 BE11 579 Extrapolation 0 33.959822 28.395156 39.524488
## 69 BE11 601 Extrapolation 0 34.199389 28.434010 39.964767
## 70 BE11 623 Extrapolation 0 34.430778 28.464965 40.396591
## 71 BE11 646 Extrapolation 0 34.664246 28.489532 40.838959
## 72 BE11 668 Extrapolation 0 34.879769 28.506152 41.253387
## 73 BE11 690 Extrapolation 0 35.087936 28.516564 41.659309
## 74 BE11 712 Extrapolation 0 35.288999 28.521242 42.056756
## 75 BE11 734 Extrapolation 0 35.483198 28.520617 42.445779
## 76 BE11 757 Extrapolation 0 35.679142 28.514728 42.843555
## 77 BE11 779 Extrapolation 0 35.860025 28.504466 43.215584
## 78 BE11 801 Extrapolation 0 36.034734 28.490018 43.579450
## 79 BE11 823 Extrapolation 0 36.203481 28.471694 43.935267
## 80 BE11 846 Extrapolation 0 36.373742 28.448701 44.298784
## 81 BE12 1 Rarefaction 0 1.000000 1.000000 1.000000
## 82 BE12 12 Rarefaction 0 7.345013 6.830559 7.859468
## 83 BE12 24 Rarefaction 0 10.836125 9.931544 11.740706
## 84 BE12 35 Rarefaction 0 12.944978 11.801272 14.088683
## 85 BE12 47 Rarefaction 0 14.630594 13.311285 15.949904
## 86 BE12 58 Rarefaction 0 15.821994 14.393921 17.250067
## 87 BE12 70 Rarefaction 0 16.854248 15.344277 18.364218
## 88 BE12 81 Rarefaction 0 17.616638 16.053671 19.179605
## 89 BE12 93 Rarefaction 0 18.293314 16.688369 19.898260
## 90 BE12 104 Rarefaction 0 18.800803 17.167193 20.434413
## 91 BE12 116 Rarefaction 0 19.256608 17.598873 20.914343
## 92 BE12 127 Rarefaction 0 19.602546 17.926933 21.278159
## 93 BE12 139 Rarefaction 0 19.917558 18.224991 21.610125
## 94 BE12 150 Rarefaction 0 20.160627 18.453274 21.867979
## 95 BE12 162 Rarefaction 0 20.386195 18.661935 22.110455
## 96 BE12 173 Rarefaction 0 20.563733 18.821938 22.305529
## 97 BE12 185 Rarefaction 0 20.731389 18.966835 22.495943
## 98 BE12 196 Rarefaction 0 20.864776 19.074831 22.654721
## 99 BE12 208 Rarefaction 0 20.990431 19.166536 22.814326
## 100 BE12 209 Observed 0 21.000000 19.172940 22.827060
## 101 BE12 210 Extrapolation 0 21.009433 19.179165 22.839702
## 102 BE12 220 Extrapolation 0 21.096696 19.231891 22.961500
## 103 BE12 231 Extrapolation 0 21.179299 19.271298 23.087299
## 104 BE12 242 Extrapolation 0 21.249863 19.293451 23.206275
## 105 BE12 253 Extrapolation 0 21.310144 19.300639 23.319648
## 106 BE12 264 Extrapolation 0 21.361639 19.295031 23.428246
## 107 BE12 275 Extrapolation 0 21.405629 19.278615 23.532643
## 108 BE12 286 Extrapolation 0 21.443208 19.253167 23.633249
## 109 BE12 297 Extrapolation 0 21.475310 19.220248 23.730372
## 110 BE12 308 Extrapolation 0 21.502734 19.181212 23.824255
## 111 BE12 319 Extrapolation 0 21.526160 19.137227 23.915094
## 112 BE12 330 Extrapolation 0 21.546173 19.089288 24.003058
## 113 BE12 341 Extrapolation 0 21.563269 19.038245 24.088293
## 114 BE12 352 Extrapolation 0 21.577873 18.984815 24.170932
## 115 BE12 363 Extrapolation 0 21.590349 18.929603 24.251096
## 116 BE12 374 Extrapolation 0 21.601007 18.873120 24.328893
## 117 BE12 385 Extrapolation 0 21.610111 18.815795 24.404428
## 118 BE12 396 Extrapolation 0 21.617889 18.757984 24.477794
## 119 BE12 407 Extrapolation 0 21.624533 18.699987 24.549079
## 120 BE12 418 Extrapolation 0 21.630209 18.642052 24.618365
## 121 BE13 1 Rarefaction 0 1.000000 1.000000 1.000000
## 122 BE13 19 Rarefaction 0 12.630236 12.153569 13.106902
## 123 BE13 37 Rarefaction 0 18.418019 17.438270 19.397768
## 124 BE13 56 Rarefaction 0 22.229059 20.834974 23.623144
## 125 BE13 74 Rarefaction 0 24.851477 23.118451 26.584502
## 126 BE13 92 Rarefaction 0 26.959730 24.919157 29.000302
## 127 BE13 111 Rarefaction 0 28.848596 26.510790 31.186402
## 128 BE13 129 Rarefaction 0 30.427141 27.829404 33.024878
## 129 BE13 148 Rarefaction 0 31.933919 29.079909 34.787930
## 130 BE13 166 Rarefaction 0 33.243929 30.160051 36.327806
## 131 BE13 184 Rarefaction 0 34.459533 31.154815 37.764251
## 132 BE13 203 Rarefaction 0 35.654192 32.123044 39.185341
## 133 BE13 221 Rarefaction 0 36.711440 32.969754 40.453126
## 134 BE13 240 Rarefaction 0 37.756304 33.794538 41.718071
## 135 BE13 258 Rarefaction 0 38.684490 34.514658 42.854321
## 136 BE13 276 Rarefaction 0 39.557362 35.178481 43.936243
## 137 BE13 295 Rarefaction 0 40.423182 35.821119 45.025246
## 138 BE13 313 Rarefaction 0 41.194588 36.377339 46.011837
## 139 BE13 332 Rarefaction 0 41.960961 36.911129 47.010793
## 140 BE13 333 Observed 0 42.000000 36.937743 47.062257
## 141 BE13 334 Extrapolation 0 42.038913 36.964210 47.113615
## 142 BE13 351 Extrapolation 0 42.681509 37.392183 47.970835
## 143 BE13 368 Extrapolation 0 43.289684 37.780007 48.799360
## 144 BE13 386 Extrapolation 0 43.898162 38.149245 49.647080
## 145 BE13 403 Extrapolation 0 44.441165 38.461208 50.421123
## 146 BE13 421 Extrapolation 0 44.984440 38.755166 51.213714
## 147 BE13 438 Extrapolation 0 45.469255 39.000816 51.937694
## 148 BE13 456 Extrapolation 0 45.954312 39.229535 52.679089
## 149 BE13 473 Extrapolation 0 46.387175 39.418114 53.356236
## 150 BE13 491 Extrapolation 0 46.820254 39.590991 54.049516
## 151 BE13 508 Extrapolation 0 47.206731 39.730926 54.682535
## 152 BE13 526 Extrapolation 0 47.593401 39.856371 55.330432
## 153 BE13 543 Extrapolation 0 47.938464 39.955102 55.921825
## 154 BE13 561 Extrapolation 0 48.283699 40.040458 56.526939
## 155 BE13 578 Extrapolation 0 48.591784 40.104434 57.079135
## 156 BE13 596 Extrapolation 0 48.900024 40.156033 57.644016
## 157 BE13 613 Extrapolation 0 49.175096 40.190789 58.159403
## 158 BE13 631 Extrapolation 0 49.450305 40.214053 58.686556
## 159 BE13 648 Extrapolation 0 49.695900 40.224324 59.167476
## 160 BE13 666 Extrapolation 0 49.941617 40.223886 59.659349
## 161 BE14 1 Rarefaction 0 1.000000 1.000000 1.000000
## 162 BE14 20 Rarefaction 0 13.090894 12.457272 13.724515
## 163 BE14 40 Rarefaction 0 19.715451 18.447781 20.983120
## 164 BE14 60 Rarefaction 0 24.044829 22.293416 25.796242
## 165 BE14 79 Rarefaction 0 27.113808 24.996890 29.230727
## 166 BE14 99 Rarefaction 0 29.707403 27.262894 32.151912
## 167 BE14 119 Rarefaction 0 31.874377 29.133053 34.615701
## 168 BE14 138 Rarefaction 0 33.653495 30.644732 36.662259
## 169 BE14 158 Rarefaction 0 35.306797 32.024818 38.588775
## 170 BE14 178 Rarefaction 0 36.786473 33.236783 40.336163
## 171 BE14 197 Rarefaction 0 38.065288 34.265425 41.865150
## 172 BE14 217 Rarefaction 0 39.303941 35.244962 43.362921
## 173 BE14 237 Rarefaction 0 40.452149 36.138484 44.765814
## 174 BE14 256 Rarefaction 0 41.472750 36.921287 46.024213
## 175 BE14 276 Rarefaction 0 42.483624 37.686086 47.281161
## 176 BE14 296 Rarefaction 0 43.437131 38.397496 48.476766
## 177 BE14 315 Rarefaction 0 44.294857 39.028354 49.561359
## 178 BE14 335 Rarefaction 0 45.150687 39.647879 50.653495
## 179 BE14 355 Rarefaction 0 45.960674 40.223146 51.698203
## 180 BE14 356 Observed 0 46.000000 40.250757 51.749243
## 181 BE14 357 Extrapolation 0 46.039215 40.278259 51.800172
## 182 BE14 375 Extrapolation 0 46.726552 40.754669 52.698435
## 183 BE14 394 Extrapolation 0 47.415292 41.219750 53.610835
## 184 BE14 413 Extrapolation 0 48.068189 41.646932 54.489446
## 185 BE14 431 Extrapolation 0 48.655350 42.017719 55.292981
## 186 BE14 450 Extrapolation 0 49.243710 42.374601 56.112819
## 187 BE14 469 Extrapolation 0 49.801451 42.697520 56.905381
## 188 BE14 487 Extrapolation 0 50.303037 42.973574 57.632499
## 189 BE14 506 Extrapolation 0 50.805647 43.235042 58.376251
## 190 BE14 525 Extrapolation 0 51.282100 43.467465 59.096734
## 191 BE14 543 Extrapolation 0 51.710582 43.662422 59.758742
## 192 BE14 562 Extrapolation 0 52.139940 43.843201 60.436679
## 193 BE14 581 Extrapolation 0 52.546952 43.999927 61.093978
## 194 BE14 599 Extrapolation 0 52.912986 44.127675 61.698297
## 195 BE14 618 Extrapolation 0 53.279767 44.242119 62.317415
## 196 BE14 637 Extrapolation 0 53.627460 44.337060 62.917860
## 197 BE14 655 Extrapolation 0 53.940146 44.410285 63.470008
## 198 BE14 674 Extrapolation 0 54.253471 44.471199 64.035743
## 199 BE14 693 Extrapolation 0 54.550490 44.516521 64.584459
## 200 BE14 712 Extrapolation 0 54.832051 44.547426 65.116675
## 201 BE15 1 Rarefaction 0 1.000000 1.000000 1.000000
## 202 BE15 9 Rarefaction 0 7.814112 7.558233 8.069990
## 203 BE15 18 Rarefaction 0 13.581021 12.822305 14.339738
## 204 BE15 26 Rarefaction 0 17.562965 16.341698 18.784231
## 205 BE15 35 Rarefaction 0 21.159334 19.455194 22.863473
## 206 BE15 44 Rarefaction 0 24.092468 21.954108 26.230828
## 207 BE15 52 Rarefaction 0 26.293249 23.807005 28.779494
## 208 BE15 61 Rarefaction 0 28.424764 25.584613 31.264915
## 209 BE15 69 Rarefaction 0 30.080357 26.954365 33.206348
## 210 BE15 78 Rarefaction 0 31.730038 28.309950 35.150125
## 211 BE15 87 Rarefaction 0 33.197592 29.507924 36.887261
## 212 BE15 95 Rarefaction 0 34.376523 30.464412 38.288634
## 213 BE15 104 Rarefaction 0 35.585023 31.438640 39.731405
## 214 BE15 112 Rarefaction 0 36.570246 32.227273 40.913218
## 215 BE15 121 Rarefaction 0 37.593139 33.039407 42.146872
## 216 BE15 130 Rarefaction 0 38.537964 33.781825 43.294103
## 217 BE15 138 Rarefaction 0 39.320806 34.389621 44.251992
## 218 BE15 147 Rarefaction 0 40.145276 35.020267 45.270286
## 219 BE15 156 Rarefaction 0 40.917197 35.599109 46.235286
## 220 BE15 157 Observed 0 41.000000 35.660387 46.339613
## 221 BE15 158 Extrapolation 0 41.082235 35.721070 46.443400
## 222 BE15 166 Extrapolation 0 41.720138 36.185125 47.255151
## 223 BE15 174 Extrapolation 0 42.323882 36.611422 48.036341
## 224 BE15 182 Extrapolation 0 42.895295 37.000680 48.789910
## 225 BE15 190 Extrapolation 0 43.436109 37.353970 49.518248
## 226 BE15 199 Extrapolation 0 44.009986 37.710124 50.309847
## 227 BE15 207 Extrapolation 0 44.491108 37.991743 50.990473
## 228 BE15 215 Extrapolation 0 44.946466 38.242245 51.650687
## 229 BE15 223 Extrapolation 0 45.377440 38.463430 52.291451
## 230 BE15 231 Extrapolation 0 45.785336 38.657118 52.913553
## 231 BE15 240 Extrapolation 0 46.218168 38.844403 53.591932
## 232 BE15 248 Extrapolation 0 46.581042 38.985616 54.176468
## 233 BE15 256 Extrapolation 0 46.924485 39.104818 54.744151
## 234 BE15 264 Extrapolation 0 47.249536 39.203624 55.295447
## 235 BE15 272 Extrapolation 0 47.557180 39.283560 55.830800
## 236 BE15 281 Extrapolation 0 47.883633 39.352718 56.414548
## 237 BE15 289 Extrapolation 0 48.157322 39.397210 56.917433
## 238 BE15 297 Extrapolation 0 48.416355 39.427019 57.405690
## 239 BE15 305 Extrapolation 0 48.661516 39.443301 57.879732
## 240 BE15 314 Extrapolation 0 48.921666 39.446783 58.396549
## 241 BE16 1 Rarefaction 0 1.000000 1.000000 1.000000
## 242 BE16 20 Rarefaction 0 9.838871 9.183518 10.494223
## 243 BE16 39 Rarefaction 0 13.870646 12.835427 14.905865
## 244 BE16 58 Rarefaction 0 16.410256 15.154447 17.666065
## 245 BE16 77 Rarefaction 0 18.170957 16.764240 19.577674
## 246 BE16 97 Rarefaction 0 19.523013 17.990942 21.055084
## 247 BE16 116 Rarefaction 0 20.500838 18.863683 22.137993
## 248 BE16 135 Rarefaction 0 21.275369 19.539219 23.011518
## 249 BE16 154 Rarefaction 0 21.904830 20.072781 23.736878
## 250 BE16 174 Rarefaction 0 22.452784 20.521900 24.383668
## 251 BE16 193 Rarefaction 0 22.891794 20.868653 24.914936
## 252 BE16 212 Rarefaction 0 23.270094 21.156257 25.383931
## 253 BE16 231 Rarefaction 0 23.600869 21.398001 25.803736
## 254 BE16 250 Rarefaction 0 23.893699 21.603607 26.183790
## 255 BE16 270 Rarefaction 0 24.168590 21.788771 26.548409
## 256 BE16 289 Rarefaction 0 24.403287 21.940271 26.866303
## 257 BE16 308 Rarefaction 0 24.615804 22.071535 27.160074
## 258 BE16 327 Rarefaction 0 24.808491 22.184725 27.432257
## 259 BE16 347 Rarefaction 0 24.991379 22.285432 27.697326
## 260 BE16 348 Observed 0 25.000000 22.289974 27.710026
## 261 BE16 349 Extrapolation 0 25.008571 22.294296 27.722847
## 262 BE16 367 Extrapolation 0 25.154722 22.364373 27.945071
## 263 BE16 385 Extrapolation 0 25.286509 22.420742 28.152275
## 264 BE16 403 Extrapolation 0 25.405344 22.464842 28.345846
## 265 BE16 422 Extrapolation 0 25.518135 22.499665 28.536605
## 266 BE16 440 Extrapolation 0 25.614207 22.522958 28.705455
## 267 BE16 458 Extrapolation 0 25.700837 22.538073 28.863601
## 268 BE16 476 Extrapolation 0 25.778953 22.546115 29.011791
## 269 BE16 495 Extrapolation 0 25.853096 22.548016 29.158176
## 270 BE16 513 Extrapolation 0 25.916248 22.544485 29.288012
## 271 BE16 531 Extrapolation 0 25.973195 22.536544 29.409845
## 272 BE16 549 Extrapolation 0 26.024544 22.524861 29.524227
## 273 BE16 568 Extrapolation 0 26.073282 22.509119 29.637445
## 274 BE16 586 Extrapolation 0 26.114795 22.491510 29.738080
## 275 BE16 604 Extrapolation 0 26.152228 22.471733 29.832724
## 276 BE16 622 Extrapolation 0 26.185983 22.450178 29.921788
## 277 BE16 641 Extrapolation 0 26.218021 22.425871 30.010170
## 278 BE16 659 Extrapolation 0 26.245309 22.401679 30.088939
## 279 BE16 677 Extrapolation 0 26.269916 22.376613 30.163219
## 280 BE16 696 Extrapolation 0 26.293271 22.349452 30.237091
## 281 BE17 1 Rarefaction 0 1.000000 1.000000 1.000000
## 282 BE17 12 Rarefaction 0 9.239218 8.878984 9.599452
## 283 BE17 24 Rarefaction 0 14.739250 13.878007 15.600493
## 284 BE17 35 Rarefaction 0 18.171689 16.958389 19.384988
## 285 BE17 47 Rarefaction 0 20.939536 19.455267 22.423805
## 286 BE17 58 Rarefaction 0 22.907156 21.249186 24.565125
## 287 BE17 70 Rarefaction 0 24.622764 22.828103 26.417424
## 288 BE17 81 Rarefaction 0 25.898287 24.008326 27.788249
## 289 BE17 93 Rarefaction 0 27.036050 25.061014 29.011086
## 290 BE17 104 Rarefaction 0 27.890092 25.846408 29.933776
## 291 BE17 116 Rarefaction 0 28.652185 26.538127 30.766243
## 292 BE17 127 Rarefaction 0 29.220580 27.043098 31.398061
## 293 BE17 139 Rarefaction 0 29.721365 27.473999 31.968731
## 294 BE17 150 Rarefaction 0 30.087637 27.774862 32.400412
## 295 BE17 162 Rarefaction 0 30.401422 28.015732 32.787112
## 296 BE17 173 Rarefaction 0 30.621954 28.168274 33.075634
## 297 BE17 185 Rarefaction 0 30.800304 28.271642 33.328966
## 298 BE17 196 Rarefaction 0 30.915086 28.317256 33.512916
## 299 BE17 208 Rarefaction 0 30.995215 28.321504 33.668927
## 300 BE17 209 Observed 0 31.000000 28.319936 33.680064
## 301 BE17 210 Extrapolation 0 31.004524 28.318107 33.690941
## 302 BE17 220 Extrapolation 0 31.038186 28.287960 33.788412
## 303 BE17 231 Extrapolation 0 31.058789 28.236961 33.880618
## 304 BE17 242 Extrapolation 0 31.069907 28.174235 33.965578
## 305 BE17 253 Extrapolation 0 31.075905 28.103886 34.047924
## 306 BE17 264 Extrapolation 0 31.079142 28.028368 34.129915
## 307 BE17 275 Extrapolation 0 31.080888 27.949268 34.212508
## 308 BE17 286 Extrapolation 0 31.081830 27.867695 34.295966
## 309 BE17 297 Extrapolation 0 31.082339 27.784480 34.380198
## 310 BE17 308 Extrapolation 0 31.082613 27.700276 34.464951
## 311 BE17 319 Extrapolation 0 31.082761 27.615609 34.549914
## 312 BE17 330 Extrapolation 0 31.082841 27.530909 34.634773
## 313 BE17 341 Extrapolation 0 31.082884 27.446529 34.719239
## 314 BE17 352 Extrapolation 0 31.082907 27.362755 34.803059
## 315 BE17 363 Extrapolation 0 31.082920 27.279820 34.886020
## 316 BE17 374 Extrapolation 0 31.082927 27.197909 34.967944
## 317 BE17 385 Extrapolation 0 31.082930 27.117168 35.048692
## 318 BE17 396 Extrapolation 0 31.082932 27.037711 35.128154
## 319 BE17 407 Extrapolation 0 31.082933 26.959623 35.206244
## 320 BE17 418 Extrapolation 0 31.082934 26.882966 35.282902
## 321 BE18 1 Rarefaction 0 1.000000 1.000000 1.000000
## 322 BE18 21 Rarefaction 0 12.112884 11.498422 12.727345
## 323 BE18 41 Rarefaction 0 18.210635 17.078680 19.342590
## 324 BE18 62 Rarefaction 0 22.736555 21.108750 24.364360
## 325 BE18 82 Rarefaction 0 26.072384 24.011282 28.133487
## 326 BE18 103 Rarefaction 0 28.939061 26.461309 31.416813
## 327 BE18 123 Rarefaction 0 31.252803 28.408752 34.096854
## 328 BE18 144 Rarefaction 0 33.362580 30.158229 36.566932
## 329 BE18 164 Rarefaction 0 35.137727 31.606829 38.668624
## 330 BE18 185 Rarefaction 0 36.807405 32.945545 40.669266
## 331 BE18 205 Rarefaction 0 38.247899 34.078407 42.417391
## 332 BE18 225 Rarefaction 0 39.568693 35.096374 44.041012
## 333 BE18 246 Rarefaction 0 40.848993 36.061961 45.636024
## 334 BE18 266 Rarefaction 0 41.984018 36.899066 47.068970
## 335 BE18 287 Rarefaction 0 43.102250 37.705321 48.499179
## 336 BE18 307 Rarefaction 0 44.108755 38.414644 49.802865
## 337 BE18 328 Rarefaction 0 45.114332 39.107197 51.121468
## 338 BE18 348 Rarefaction 0 46.030936 39.723778 52.338093
## 339 BE18 369 Rarefaction 0 46.956757 40.331357 53.582157
## 340 BE18 370 Observed 0 47.000000 40.359339 53.640661
## 341 BE18 371 Extrapolation 0 47.043170 40.387237 53.699103
## 342 BE18 390 Extrapolation 0 47.849673 40.901512 54.797834
## 343 BE18 409 Extrapolation 0 48.630655 41.386394 55.874917
## 344 BE18 429 Extrapolation 0 49.426060 41.866075 56.986044
## 345 BE18 448 Extrapolation 0 50.157161 42.293634 58.020688
## 346 BE18 468 Extrapolation 0 50.901762 42.715252 59.088273
## 347 BE18 487 Extrapolation 0 51.586168 43.089895 60.082441
## 348 BE18 506 Extrapolation 0 52.248917 43.440416 61.057418
## 349 BE18 526 Extrapolation 0 52.923905 43.784519 62.063290
## 350 BE18 545 Extrapolation 0 53.544324 44.088904 62.999743
## 351 BE18 565 Extrapolation 0 54.176200 44.386774 63.965626
## 352 BE18 584 Extrapolation 0 54.756993 44.649386 64.864600
## 353 BE18 604 Extrapolation 0 55.348510 44.905459 65.791562
## 354 BE18 623 Extrapolation 0 55.892208 45.130346 66.654070
## 355 BE18 642 Extrapolation 0 56.418702 45.338214 67.499190
## 356 BE18 662 Extrapolation 0 56.954917 45.539549 68.370286
## 357 BE18 681 Extrapolation 0 57.447784 45.715045 69.180523
## 358 BE18 701 Extrapolation 0 57.949751 45.884011 70.015492
## 359 BE18 720 Extrapolation 0 58.411138 46.030292 70.791984
## 360 BE18 740 Extrapolation 0 58.881045 46.170038 71.592052
## 361 BE19 1 Rarefaction 0 1.000000 1.000000 1.000000
## 362 BE19 20 Rarefaction 0 11.653124 11.053343 12.252904
## 363 BE19 39 Rarefaction 0 17.536342 16.549359 18.523324
## 364 BE19 58 Rarefaction 0 21.624550 20.363296 22.885805
## 365 BE19 77 Rarefaction 0 24.681593 23.210398 26.152788
## 366 BE19 96 Rarefaction 0 27.060479 25.428817 28.692140
## 367 BE19 115 Rarefaction 0 28.957737 27.203562 30.711911
## 368 BE19 134 Rarefaction 0 30.494614 28.644501 32.344728
## 369 BE19 153 Rarefaction 0 31.751758 29.822533 33.680982
## 370 BE19 172 Rarefaction 0 32.786321 30.787459 34.785184
## 371 BE19 191 Rarefaction 0 33.640998 31.576906 35.705090
## 372 BE19 210 Rarefaction 0 34.349033 32.220848 36.477219
## 373 BE19 229 Rarefaction 0 34.937175 32.743980 37.130369
## 374 BE19 248 Rarefaction 0 35.427491 33.167059 37.687923
## 375 BE19 267 Rarefaction 0 35.838555 33.507734 38.169376
## 376 BE19 286 Rarefaction 0 36.186226 33.781100 38.591352
## 377 BE19 305 Rarefaction 0 36.484182 34.000098 38.968267
## 378 BE19 324 Rarefaction 0 36.744274 34.175781 39.312767
## 379 BE19 344 Rarefaction 0 36.988406 34.324179 39.652632
## 380 BE19 345 Observed 0 37.000000 34.330781 39.669219
## 381 BE19 346 Extrapolation 0 37.011544 34.337314 39.685774
## 382 BE19 364 Extrapolation 0 37.210970 34.443495 39.978446
## 383 BE19 382 Extrapolation 0 37.395374 34.529319 40.261430
## 384 BE19 400 Extrapolation 0 37.565887 34.596752 40.535023
## 385 BE19 418 Extrapolation 0 37.723556 34.647797 40.799314
## 386 BE19 436 Extrapolation 0 37.869347 34.684381 41.054312
## 387 BE19 454 Extrapolation 0 38.004156 34.708295 41.300017
## 388 BE19 472 Extrapolation 0 38.128809 34.721161 41.536457
## 389 BE19 490 Extrapolation 0 38.244073 34.724433 41.763713
## 390 BE19 508 Extrapolation 0 38.350654 34.719396 41.981912
## 391 BE19 527 Extrapolation 0 38.454458 34.706310 42.202607
## 392 BE19 545 Extrapolation 0 38.545191 34.687586 42.402796
## 393 BE19 563 Extrapolation 0 38.629089 34.663582 42.594595
## 394 BE19 581 Extrapolation 0 38.706667 34.635050 42.778283
## 395 BE19 599 Extrapolation 0 38.778401 34.602644 42.954157
## 396 BE19 617 Extrapolation 0 38.844731 34.566937 43.122525
## 397 BE19 635 Extrapolation 0 38.906065 34.528427 43.283702
## 398 BE19 653 Extrapolation 0 38.962778 34.487553 43.438004
## 399 BE19 671 Extrapolation 0 39.015219 34.444697 43.585742
## 400 BE19 690 Extrapolation 0 39.066295 34.397680 43.734909
## 401 BE2 1 Rarefaction 0 1.000000 1.000000 1.000000
## 402 BE2 25 Rarefaction 0 13.023076 12.447839 13.598313
## 403 BE2 49 Rarefaction 0 17.407399 16.401713 18.413085
## 404 BE2 73 Rarefaction 0 19.980530 18.663988 21.297071
## 405 BE2 97 Rarefaction 0 21.838222 20.261079 23.415365
## 406 BE2 121 Rarefaction 0 23.304229 21.502150 25.106309
## 407 BE2 145 Rarefaction 0 24.518636 22.523011 26.514261
## 408 BE2 169 Rarefaction 0 25.557721 23.395004 27.720439
## 409 BE2 193 Rarefaction 0 26.467683 24.158781 28.776585
## 410 BE2 217 Rarefaction 0 27.278150 24.838770 29.717531
## 411 BE2 241 Rarefaction 0 28.008871 25.450271 30.567472
## 412 BE2 265 Rarefaction 0 28.673349 26.003145 31.343552
## 413 BE2 289 Rarefaction 0 29.280941 26.503846 32.058037
## 414 BE2 313 Rarefaction 0 29.838156 26.956600 32.719712
## 415 BE2 337 Rarefaction 0 30.349501 27.364176 33.334827
## 416 BE2 361 Rarefaction 0 30.818092 27.728392 33.907792
## 417 BE2 385 Rarefaction 0 31.246090 28.050482 34.441699
## 418 BE2 409 Rarefaction 0 31.635050 28.331344 34.938757
## 419 BE2 433 Rarefaction 0 31.986175 28.571705 35.400645
## 420 BE2 434 Observed 0 32.000000 28.580851 35.419149
## 421 BE2 435 Extrapolation 0 32.013761 28.589928 35.437594
## 422 BE2 457 Extrapolation 0 32.301007 28.772679 35.829334
## 423 BE2 480 Extrapolation 0 32.571742 28.931042 36.212441
## 424 BE2 503 Extrapolation 0 32.815250 29.058947 36.571552
## 425 BE2 526 Extrapolation 0 33.034269 29.159324 36.909214
## 426 BE2 548 Extrapolation 0 33.223124 29.232150 37.214098
## 427 BE2 571 Extrapolation 0 33.401124 29.286565 37.515684
## 428 BE2 594 Extrapolation 0 33.561224 29.321153 37.801294
## 429 BE2 617 Extrapolation 0 33.705222 29.338123 38.072322
## 430 BE2 640 Extrapolation 0 33.834739 29.339476 38.330003
## 431 BE2 662 Extrapolation 0 33.946419 29.327827 38.565011
## 432 BE2 685 Extrapolation 0 34.051680 29.303687 38.799672
## 433 BE2 708 Extrapolation 0 34.146354 29.268757 39.023951
## 434 BE2 731 Extrapolation 0 34.231508 29.224346 39.238670
## 435 BE2 754 Extrapolation 0 34.308098 29.171618 39.444577
## 436 BE2 776 Extrapolation 0 34.374140 29.114361 39.633918
## 437 BE2 799 Extrapolation 0 34.436386 29.048262 39.824509
## 438 BE2 822 Extrapolation 0 34.492372 28.976599 40.008144
## 439 BE2 845 Extrapolation 0 34.542727 28.900108 40.185346
## 440 BE2 868 Extrapolation 0 34.588019 28.819443 40.356595
## 441 BE20 1 Rarefaction 0 1.000000 1.000000 1.000000
## 442 BE20 9 Rarefaction 0 4.998871 4.442656 5.555086
## 443 BE20 17 Rarefaction 0 7.549573 6.643401 8.455744
## 444 BE20 25 Rarefaction 0 9.491694 8.275984 10.707403
## 445 BE20 33 Rarefaction 0 11.025323 9.520022 12.530624
## 446 BE20 41 Rarefaction 0 12.273575 10.491448 14.055702
## 447 BE20 50 Rarefaction 0 13.433704 11.348196 15.519212
## 448 BE20 58 Rarefaction 0 14.304538 11.951970 16.657107
## 449 BE20 66 Rarefaction 0 15.061033 12.441283 17.680783
## 450 BE20 74 Rarefaction 0 15.728438 12.840163 18.616713
## 451 BE20 82 Rarefaction 0 16.325805 13.167271 19.484340
## 452 BE20 90 Rarefaction 0 16.867926 13.437545 20.298307
## 453 BE20 99 Rarefaction 0 17.426259 13.688716 21.163802
## 454 BE20 107 Rarefaction 0 17.886975 13.875859 21.898091
## 455 BE20 115 Rarefaction 0 18.321915 14.037335 22.606494
## 456 BE20 123 Rarefaction 0 18.737000 14.179591 23.294409
## 457 BE20 131 Rarefaction 0 19.136982 14.307792 23.966172
## 458 BE20 139 Rarefaction 0 19.525643 14.426001 24.625286
## 459 BE20 148 Rarefaction 0 19.953020 14.550866 25.355174
## 460 BE20 149 Observed 0 20.000000 14.564349 25.435651
## 461 BE20 150 Extrapolation 0 20.046889 14.577762 25.516017
## 462 BE20 157 Extrapolation 0 20.372595 14.669749 26.075440
## 463 BE20 165 Extrapolation 0 20.739485 14.770842 26.708128
## 464 BE20 173 Extrapolation 0 21.100758 14.867684 27.333832
## 465 BE20 181 Extrapolation 0 21.456499 14.960311 27.952688
## 466 BE20 188 Extrapolation 0 21.763302 15.037921 28.488683
## 467 BE20 196 Extrapolation 0 22.108900 15.122707 29.095092
## 468 BE20 204 Extrapolation 0 22.449206 15.203341 29.695070
## 469 BE20 212 Extrapolation 0 22.784301 15.279846 30.288756
## 470 BE20 220 Extrapolation 0 23.114267 15.352250 30.876283
## 471 BE20 227 Extrapolation 0 23.398839 15.412265 31.385413
## 472 BE20 235 Extrapolation 0 23.719395 15.477074 31.961717
## 473 BE20 243 Extrapolation 0 24.035044 15.537893 32.532194
## 474 BE20 251 Extrapolation 0 24.345859 15.594773 33.096945
## 475 BE20 259 Extrapolation 0 24.651916 15.647770 33.656061
## 476 BE20 266 Extrapolation 0 24.915869 15.691003 34.140734
## 477 BE20 274 Extrapolation 0 25.213198 15.736884 34.689512
## 478 BE20 282 Extrapolation 0 25.505975 15.779065 35.232885
## 479 BE20 290 Extrapolation 0 25.794270 15.817619 35.770921
## 480 BE20 298 Extrapolation 0 26.078150 15.852618 36.303683
## 481 BE21 1 Rarefaction 0 1.000000 1.000000 1.000000
## 482 BE21 21 Rarefaction 0 13.115679 12.635772 13.595586
## 483 BE21 42 Rarefaction 0 19.201210 18.333204 20.069216
## 484 BE21 63 Rarefaction 0 22.873653 21.719509 24.027796
## 485 BE21 83 Rarefaction 0 25.261995 23.880768 26.643222
## 486 BE21 104 Rarefaction 0 27.101914 25.508820 28.695007
## 487 BE21 125 Rarefaction 0 28.509440 26.720866 30.298013
## 488 BE21 145 Rarefaction 0 29.577591 27.613331 31.541852
## 489 BE21 166 Rarefaction 0 30.494988 28.354943 32.635032
## 490 BE21 187 Rarefaction 0 31.257564 28.949275 33.565853
## 491 BE21 207 Rarefaction 0 31.874714 29.412187 34.337241
## 492 BE21 228 Rarefaction 0 32.434287 29.815042 35.053532
## 493 BE21 249 Rarefaction 0 32.922967 30.151193 35.694742
## 494 BE21 269 Rarefaction 0 33.336297 30.421960 36.250633
## 495 BE21 290 Rarefaction 0 33.726760 30.664217 36.789303
## 496 BE21 311 Rarefaction 0 34.081608 30.870884 37.292331
## 497 BE21 331 Rarefaction 0 34.393189 31.039905 37.746473
## 498 BE21 352 Rarefaction 0 34.698527 31.192473 38.204581
## 499 BE21 373 Rarefaction 0 34.986631 31.323036 38.650226
## 500 BE21 374 Observed 0 35.000000 31.328756 38.671244
## 501 BE21 375 Extrapolation 0 35.013340 31.334433 38.692248
## 502 BE21 394 Extrapolation 0 35.261452 31.434108 39.088796
## 503 BE21 414 Extrapolation 0 35.511937 31.522701 39.501174
## 504 BE21 433 Extrapolation 0 35.740160 31.592109 39.888211
## 505 BE21 453 Extrapolation 0 35.970566 31.650563 40.290569
## 506 BE21 473 Extrapolation 0 36.191308 31.695048 40.687568
## 507 BE21 492 Extrapolation 0 36.392431 31.725328 41.059534
## 508 BE21 512 Extrapolation 0 36.595478 31.745581 41.445374
## 509 BE21 532 Extrapolation 0 36.790008 31.754899 41.825117
## 510 BE21 551 Extrapolation 0 36.967249 31.754485 42.180013
## 511 BE21 571 Extrapolation 0 37.146186 31.745144 42.547227
## 512 BE21 590 Extrapolation 0 37.309219 31.728547 42.889890
## 513 BE21 610 Extrapolation 0 37.473812 31.703676 43.243948
## 514 BE21 630 Extrapolation 0 37.631501 31.671899 43.591103
## 515 BE21 649 Extrapolation 0 37.775175 31.635897 43.914453
## 516 BE21 669 Extrapolation 0 37.920223 31.592441 44.248006
## 517 BE21 689 Extrapolation 0 38.059188 31.543809 44.574567
## 518 BE21 708 Extrapolation 0 38.185802 31.493258 44.878346
## 519 BE21 728 Extrapolation 0 38.313627 31.435896 45.191358
## 520 BE21 748 Extrapolation 0 38.436091 31.374677 45.497504
## 521 BE22 1 Rarefaction 0 1.000000 1.000000 1.000000
## 522 BE22 13 Rarefaction 0 7.899465 7.388793 8.410136
## 523 BE22 26 Rarefaction 0 11.603777 10.669586 12.537967
## 524 BE22 39 Rarefaction 0 13.950397 12.708325 15.192469
## 525 BE22 52 Rarefaction 0 15.644976 14.187446 17.102506
## 526 BE22 64 Rarefaction 0 16.872635 15.268802 18.476467
## 527 BE22 77 Rarefaction 0 17.957380 16.228547 19.686214
## 528 BE22 90 Rarefaction 0 18.852567 17.019639 20.685495
## 529 BE22 103 Rarefaction 0 19.599490 17.675976 21.523005
## 530 BE22 116 Rarefaction 0 20.226705 18.222402 22.231008
## 531 BE22 128 Rarefaction 0 20.718151 18.646243 22.790058
## 532 BE22 141 Rarefaction 0 21.171919 19.033151 23.310687
## 533 BE22 154 Rarefaction 0 21.557731 19.357780 23.757682
## 534 BE22 167 Rarefaction 0 21.887440 19.631026 24.143854
## 535 BE22 179 Rarefaction 0 22.150670 19.845410 24.455930
## 536 BE22 192 Rarefaction 0 22.399347 20.043553 24.755140
## 537 BE22 205 Rarefaction 0 22.617351 20.212087 25.022614
## 538 BE22 218 Rarefaction 0 22.811278 20.355927 25.266629
## 539 BE22 231 Rarefaction 0 22.987069 20.479114 25.495024
## 540 BE22 232 Observed 0 23.000000 20.487836 25.512164
## 541 BE22 233 Extrapolation 0 23.012857 20.496462 25.529252
## 542 BE22 245 Extrapolation 0 23.161503 20.592417 25.730589
## 543 BE22 257 Extrapolation 0 23.300229 20.674297 25.926161
## 544 BE22 269 Extrapolation 0 23.429698 20.742243 26.117153
## 545 BE22 281 Extrapolation 0 23.550527 20.796717 26.304337
## 546 BE22 293 Extrapolation 0 23.663292 20.838400 26.488184
## 547 BE22 305 Extrapolation 0 23.768532 20.868113 26.668952
## 548 BE22 318 Extrapolation 0 23.874632 20.887825 26.861438
## 549 BE22 330 Extrapolation 0 23.965768 20.895481 27.036055
## 550 BE22 342 Extrapolation 0 24.050823 20.893942 27.207704
## 551 BE22 354 Extrapolation 0 24.130201 20.884069 27.376334
## 552 BE22 366 Extrapolation 0 24.204283 20.866675 27.541891
## 553 BE22 378 Extrapolation 0 24.273420 20.842515 27.704326
## 554 BE22 391 Extrapolation 0 24.343123 20.809512 27.876733
## 555 BE22 403 Extrapolation 0 24.402995 20.773425 28.032565
## 556 BE22 415 Extrapolation 0 24.458872 20.732533 28.185210
## 557 BE22 427 Extrapolation 0 24.511020 20.687359 28.334680
## 558 BE22 439 Extrapolation 0 24.559688 20.638377 28.480998
## 559 BE22 451 Extrapolation 0 24.605108 20.586015 28.624200
## 560 BE22 464 Extrapolation 0 24.650899 20.525925 28.775873
## 561 BE23 1 Rarefaction 0 1.000000 1.000000 1.000000
## 562 BE23 13 Rarefaction 0 7.303662 6.818235 7.789089
## 563 BE23 25 Rarefaction 0 10.396894 9.624356 11.169432
## 564 BE23 37 Rarefaction 0 12.413750 11.397929 13.429571
## 565 BE23 49 Rarefaction 0 13.902563 12.684420 15.120706
## 566 BE23 62 Rarefaction 0 15.168013 13.770872 16.565155
## 567 BE23 74 Rarefaction 0 16.118072 14.584445 17.651698
## 568 BE23 86 Rarefaction 0 16.910940 15.260826 18.561053
## 569 BE23 98 Rarefaction 0 17.578553 15.825691 19.331416
## 570 BE23 111 Rarefaction 0 18.187333 16.332749 20.041918
## 571 BE23 123 Rarefaction 0 18.663242 16.719266 20.607218
## 572 BE23 135 Rarefaction 0 19.072157 17.039875 21.104440
## 573 BE23 147 Rarefaction 0 19.426951 17.305084 21.548818
## 574 BE23 159 Rarefaction 0 19.738685 17.524261 21.953108
## 575 BE23 172 Rarefaction 0 20.038857 17.719503 22.358211
## 576 BE23 184 Rarefaction 0 20.290118 17.868878 22.711357
## 577 BE23 196 Rarefaction 0 20.523969 17.995662 23.052276
## 578 BE23 208 Rarefaction 0 20.746715 18.106022 23.387407
## 579 BE23 221 Rarefaction 0 20.981982 18.213488 23.750476
## 580 BE23 222 Observed 0 21.000000 18.221413 23.778587
## 581 BE23 223 Extrapolation 0 21.017964 18.229239 23.806688
## 582 BE23 234 Extrapolation 0 21.212036 18.309253 24.114818
## 583 BE23 246 Extrapolation 0 21.416544 18.385195 24.447893
## 584 BE23 257 Extrapolation 0 21.597627 18.445856 24.749397
## 585 BE23 269 Extrapolation 0 21.788447 18.503537 25.073357
## 586 BE23 281 Extrapolation 0 21.972493 18.553409 25.391578
## 587 BE23 292 Extrapolation 0 22.135458 18.593023 25.677892
## 588 BE23 304 Extrapolation 0 22.307185 18.630267 25.984104
## 589 BE23 316 Extrapolation 0 22.472817 18.661879 26.283755
## 590 BE23 327 Extrapolation 0 22.619476 18.686364 26.552587
## 591 BE23 339 Extrapolation 0 22.774021 18.708602 26.839441
## 592 BE23 350 Extrapolation 0 22.910864 18.725222 27.096506
## 593 BE23 362 Extrapolation 0 23.055065 18.739580 27.370551
## 594 BE23 374 Extrapolation 0 23.194148 18.750313 27.637983
## 595 BE23 385 Extrapolation 0 23.317299 18.757215 27.877382
## 596 BE23 397 Extrapolation 0 23.447072 18.761786 28.132359
## 597 BE23 409 Extrapolation 0 23.572239 18.763500 28.380978
## 598 BE23 420 Extrapolation 0 23.683068 18.762748 28.603387
## 599 BE23 432 Extrapolation 0 23.799857 18.759580 28.840133
## 600 BE23 444 Extrapolation 0 23.912500 18.754141 29.070858
## 601 BE24 1 Rarefaction 0 1.000000 1.000000 1.000000
## 602 BE24 18 Rarefaction 0 6.864988 6.370019 7.359957
## 603 BE24 35 Rarefaction 0 10.030663 9.251289 10.810037
## 604 BE24 52 Rarefaction 0 12.141490 11.150061 13.132919
## 605 BE24 69 Rarefaction 0 13.673474 12.532845 14.814104
## 606 BE24 87 Rarefaction 0 14.906927 13.658331 16.155524
## 607 BE24 104 Rarefaction 0 15.825390 14.506374 17.144406
## 608 BE24 121 Rarefaction 0 16.572932 15.202510 17.943354
## 609 BE24 138 Rarefaction 0 17.191822 15.780853 18.602790
## 610 BE24 156 Rarefaction 0 17.738221 16.290017 19.186424
## 611 BE24 173 Rarefaction 0 18.172099 16.690426 19.653771
## 612 BE24 190 Rarefaction 0 18.540800 17.025232 20.056367
## 613 BE24 207 Rarefaction 0 18.855179 17.304290 20.406068
## 614 BE24 224 Rarefaction 0 19.123735 17.535762 20.711707
## 615 BE24 242 Rarefaction 0 19.365698 17.736618 20.994778
## 616 BE24 259 Rarefaction 0 19.560013 17.890648 21.229378
## 617 BE24 276 Rarefaction 0 19.725817 18.015064 21.436569
## 618 BE24 293 Rarefaction 0 19.867040 18.114039 21.620042
## 619 BE24 311 Rarefaction 0 19.993590 18.195017 21.792162
## 620 BE24 312 Observed 0 20.000000 18.198869 21.801131
## 621 BE24 313 Extrapolation 0 20.006349 18.202652 21.810046
## 622 BE24 329 Extrapolation 0 20.100065 18.254056 21.946074
## 623 BE24 345 Extrapolation 0 20.180437 18.289222 22.071652
## 624 BE24 362 Extrapolation 0 20.253331 18.310483 22.196180
## 625 BE24 378 Extrapolation 0 20.311880 18.317034 22.306727
## 626 BE24 394 Extrapolation 0 20.362093 18.312176 22.412009
## 627 BE24 411 Extrapolation 0 20.407634 18.296234 22.519033
## 628 BE24 427 Extrapolation 0 20.444212 18.272578 22.615846
## 629 BE24 443 Extrapolation 0 20.475582 18.241844 22.709321
## 630 BE24 460 Extrapolation 0 20.504034 18.202707 22.805361
## 631 BE24 476 Extrapolation 0 20.526886 18.160828 22.892945
## 632 BE24 493 Extrapolation 0 20.547613 18.111965 22.983261
## 633 BE24 509 Extrapolation 0 20.564260 18.062658 23.065862
## 634 BE24 525 Extrapolation 0 20.578537 18.010794 23.146280
## 635 BE24 542 Extrapolation 0 20.591486 17.953506 23.229466
## 636 BE24 558 Extrapolation 0 20.601886 17.898030 23.305742
## 637 BE24 574 Extrapolation 0 20.610806 17.841456 23.380156
## 638 BE24 591 Extrapolation 0 20.618896 17.780523 23.457268
## 639 BE24 607 Extrapolation 0 20.625393 17.722703 23.528084
## 640 BE24 624 Extrapolation 0 20.631286 17.661045 23.601528
## 641 BE25 1 Rarefaction 0 1.000000 1.000000 1.000000
## 642 BE25 14 Rarefaction 0 8.523522 7.993748 9.053295
## 643 BE25 27 Rarefaction 0 12.536058 11.723162 13.348954
## 644 BE25 40 Rarefaction 0 15.249265 14.217751 16.280778
## 645 BE25 53 Rarefaction 0 17.287512 16.056569 18.518455
## 646 BE25 66 Rarefaction 0 18.925222 17.510532 20.339913
## 647 BE25 79 Rarefaction 0 20.299450 18.717623 21.881276
## 648 BE25 92 Rarefaction 0 21.486615 19.752444 23.220787
## 649 BE25 105 Rarefaction 0 22.533260 20.657587 24.408933
## 650 BE25 118 Rarefaction 0 23.469568 21.458836 25.480299
## 651 BE25 131 Rarefaction 0 24.315982 22.172889 26.459074
## 652 BE25 144 Rarefaction 0 25.086767 22.811359 27.362175
## 653 BE25 157 Rarefaction 0 25.792078 23.382848 28.201309
## 654 BE25 170 Rarefaction 0 26.439213 23.894002 28.984423
## 655 BE25 183 Rarefaction 0 27.033413 24.350040 29.716786
## 656 BE25 196 Rarefaction 0 27.578409 24.755044 30.401775
## 657 BE25 209 Rarefaction 0 28.076819 25.112154 31.041485
## 658 BE25 222 Rarefaction 0 28.530470 25.423739 31.637202
## 659 BE25 236 Rarefaction 0 28.970464 25.710391 32.230538
## 660 BE25 237 Observed 0 29.000000 25.728970 32.271030
## 661 BE25 238 Extrapolation 0 29.029288 25.747300 32.311275
## 662 BE25 250 Extrapolation 0 29.362122 25.948559 32.775685
## 663 BE25 262 Extrapolation 0 29.662902 26.117407 33.208396
## 664 BE25 275 Extrapolation 0 29.956147 26.267127 33.645167
## 665 BE25 287 Extrapolation 0 30.199717 26.377597 34.021838
## 666 BE25 300 Extrapolation 0 30.437187 26.470241 34.404132
## 667 BE25 312 Extrapolation 0 30.634429 26.533315 34.735544
## 668 BE25 324 Extrapolation 0 30.812676 26.577062 35.048290
## 669 BE25 337 Extrapolation 0 30.986458 26.604941 35.367974
## 670 BE25 349 Extrapolation 0 31.130801 26.614601 35.647002
## 671 BE25 362 Extrapolation 0 31.271529 26.609610 35.933448
## 672 BE25 374 Extrapolation 0 31.388418 26.592333 36.184503
## 673 BE25 387 Extrapolation 0 31.502379 26.561497 36.443261
## 674 BE25 399 Extrapolation 0 31.597035 26.523146 36.670925
## 675 BE25 411 Extrapolation 0 31.682576 26.476432 36.888719
## 676 BE25 424 Extrapolation 0 31.765973 26.417530 37.114416
## 677 BE25 436 Extrapolation 0 31.835243 26.356452 37.314034
## 678 BE25 449 Extrapolation 0 31.902778 26.283965 37.521591
## 679 BE25 461 Extrapolation 0 31.958873 26.211983 37.705763
## 680 BE25 474 Extrapolation 0 32.013563 26.129266 37.897860
## 681 BE26 1 Rarefaction 0 1.000000 1.000000 1.000000
## 682 BE26 17 Rarefaction 0 8.294868 7.746985 8.842750
## 683 BE26 34 Rarefaction 0 12.173887 11.241946 13.105828
## 684 BE26 51 Rarefaction 0 14.750614 13.527342 15.973887
## 685 BE26 68 Rarefaction 0 16.650578 15.202072 18.099085
## 686 BE26 85 Rarefaction 0 18.136338 16.509904 19.762772
## 687 BE26 102 Rarefaction 0 19.343970 17.573039 21.114900
## 688 BE26 118 Rarefaction 0 20.298432 18.413313 22.183551
## 689 BE26 135 Rarefaction 0 21.167953 19.178195 23.157712
## 690 BE26 152 Rarefaction 0 21.922608 19.840521 24.004695
## 691 BE26 169 Rarefaction 0 22.586843 20.420854 24.752831
## 692 BE26 186 Rarefaction 0 23.178150 20.933477 25.422824
## 693 BE26 203 Rarefaction 0 23.709207 21.388265 26.030149
## 694 BE26 219 Rarefaction 0 24.162274 21.769481 26.555068
## 695 BE26 236 Rarefaction 0 24.600383 22.128913 27.071853
## 696 BE26 253 Rarefaction 0 24.998639 22.443864 27.553414
## 697 BE26 270 Rarefaction 0 25.360463 22.715553 28.005374
## 698 BE26 287 Rarefaction 0 25.688233 22.944199 28.432266
## 699 BE26 304 Rarefaction 0 25.983607 23.129325 28.837888
## 700 BE26 305 Observed 0 26.000000 23.138842 28.861158
## 701 BE26 306 Extrapolation 0 26.016286 23.148207 28.884366
## 702 BE26 322 Extrapolation 0 26.262853 23.278078 29.247628
## 703 BE26 338 Extrapolation 0 26.484861 23.372594 29.597127
## 704 BE26 354 Extrapolation 0 26.684756 23.435212 29.934301
## 705 BE26 370 Extrapolation 0 26.864742 23.469379 30.260104
## 706 BE26 386 Extrapolation 0 27.026800 23.478365 30.575235
## 707 BE26 402 Extrapolation 0 27.172718 23.465177 30.880258
## 708 BE26 418 Extrapolation 0 27.304101 23.432536 31.175666
## 709 BE26 434 Extrapolation 0 27.422399 23.382886 31.461912
## 710 BE26 450 Extrapolation 0 27.528914 23.318400 31.739427
## 711 BE26 466 Extrapolation 0 27.624819 23.241011 32.008628
## 712 BE26 482 Extrapolation 0 27.711173 23.152428 32.269917
## 713 BE26 498 Extrapolation 0 27.788925 23.054165 32.523685
## 714 BE26 514 Extrapolation 0 27.858933 22.947557 32.770310
## 715 BE26 530 Extrapolation 0 27.921968 22.833784 33.010153
## 716 BE26 546 Extrapolation 0 27.978725 22.713888 33.243562
## 717 BE26 562 Extrapolation 0 28.029829 22.588789 33.470868
## 718 BE26 578 Extrapolation 0 28.075842 22.459299 33.692385
## 719 BE26 594 Extrapolation 0 28.117273 22.326136 33.908409
## 720 BE26 610 Extrapolation 0 28.154577 22.189933 34.119221
## 721 BE27 1 Rarefaction 0 1.000000 1.000000 1.000000
## 722 BE27 18 Rarefaction 0 10.875748 10.294709 11.456786
## 723 BE27 35 Rarefaction 0 15.893033 14.803600 16.982466
## 724 BE27 52 Rarefaction 0 19.289489 17.755311 20.823667
## 725 BE27 69 Rarefaction 0 21.893524 19.956159 23.830888
## 726 BE27 87 Rarefaction 0 24.154244 21.827731 26.480757
## 727 BE27 104 Rarefaction 0 25.985420 23.325209 28.645630
## 728 BE27 121 Rarefaction 0 27.606656 24.643767 30.569546
## 729 BE27 138 Rarefaction 0 29.066564 25.829098 32.304029
## 730 BE27 156 Rarefaction 0 30.470593 26.968981 33.972206
## 731 BE27 173 Rarefaction 0 31.684712 27.954670 35.414755
## 732 BE27 190 Rarefaction 0 32.805831 28.863965 36.747698
## 733 BE27 207 Rarefaction 0 33.846082 29.705510 37.986654
## 734 BE27 224 Rarefaction 0 34.815559 30.486252 39.144866
## 735 BE27 242 Rarefaction 0 35.774585 31.253200 40.295970
## 736 BE27 259 Rarefaction 0 36.624652 31.926606 41.322699
## 737 BE27 276 Rarefaction 0 37.427632 32.555347 42.299917
## 738 BE27 293 Rarefaction 0 38.189723 33.143763 43.235683
## 739 BE27 311 Rarefaction 0 38.958333 33.727316 44.189350
## 740 BE27 312 Observed 0 39.000000 33.758634 44.241366
## 741 BE27 313 Extrapolation 0 39.041564 33.789840 44.293288
## 742 BE27 329 Extrapolation 0 39.692809 34.274022 45.111596
## 743 BE27 345 Extrapolation 0 40.318816 34.730061 45.907571
## 744 BE27 362 Extrapolation 0 40.957387 35.184349 46.730425
## 745 BE27 378 Extrapolation 0 41.534385 35.584110 47.484661
## 746 BE27 394 Extrapolation 0 42.089022 35.957665 48.220379
## 747 BE27 411 Extrapolation 0 42.654791 36.326784 48.982798
## 748 BE27 427 Extrapolation 0 43.166006 36.648988 49.683025
## 749 BE27 443 Extrapolation 0 43.657410 36.947727 50.367093
## 750 BE27 460 Extrapolation 0 44.158677 37.240531 51.076822
## 751 BE27 476 Extrapolation 0 44.611610 37.494009 51.729210
## 752 BE27 493 Extrapolation 0 45.073633 37.740996 52.406271
## 753 BE27 509 Extrapolation 0 45.491107 37.953486 53.028729
## 754 BE27 525 Extrapolation 0 45.892402 38.147616 53.637189
## 755 BE27 542 Extrapolation 0 46.301752 38.334832 54.268671
## 756 BE27 558 Extrapolation 0 46.671630 38.494086 54.849174
## 757 BE27 574 Extrapolation 0 47.027174 38.637816 55.416532
## 758 BE27 591 Extrapolation 0 47.389854 38.774479 56.005230
## 759 BE27 607 Extrapolation 0 47.717564 38.888860 56.546268
## 760 BE27 624 Extrapolation 0 48.051851 38.996148 57.107554
## 761 BE28 1 Rarefaction 0 1.000000 1.000000 1.000000
## 762 BE28 15 Rarefaction 0 9.699114 9.262500 10.135727
## 763 BE28 30 Rarefaction 0 14.392769 13.617801 15.167737
## 764 BE28 45 Rarefaction 0 17.418904 16.420797 18.417012
## 765 BE28 59 Rarefaction 0 19.488162 18.297741 20.678582
## 766 BE28 74 Rarefaction 0 21.213806 19.809920 22.617692
## 767 BE28 89 Rarefaction 0 22.600171 20.975938 24.224404
## 768 BE28 104 Rarefaction 0 23.748697 21.902136 25.595259
## 769 BE28 118 Rarefaction 0 24.662033 22.609432 26.714635
## 770 BE28 133 Rarefaction 0 25.509951 23.240277 27.779625
## 771 BE28 148 Rarefaction 0 26.250541 23.768888 28.732194
## 772 BE28 162 Rarefaction 0 26.863022 24.188807 29.537237
## 773 BE28 177 Rarefaction 0 27.449458 24.575024 30.323891
## 774 BE28 192 Rarefaction 0 27.975553 24.907465 31.043641
## 775 BE28 207 Rarefaction 0 28.451234 25.196184 31.706283
## 776 BE28 221 Rarefaction 0 28.857092 25.433610 32.280575
## 777 BE28 236 Rarefaction 0 29.257896 25.660396 32.855397
## 778 BE28 251 Rarefaction 0 29.629571 25.864587 33.394555
## 779 BE28 266 Rarefaction 0 29.977528 26.051365 33.903691
## 780 BE28 267 Observed 0 30.000000 26.063308 33.936692
## 781 BE28 268 Extrapolation 0 30.022388 26.075193 33.969582
## 782 BE28 282 Extrapolation 0 30.327153 26.235589 34.418718
## 783 BE28 296 Extrapolation 0 30.616322 26.385011 34.847633
## 784 BE28 310 Extrapolation 0 30.890692 26.523767 35.257616
## 785 BE28 324 Extrapolation 0 31.151020 26.652163 35.649878
## 786 BE28 338 Extrapolation 0 31.398026 26.770515 36.025537
## 787 BE28 352 Extrapolation 0 31.632391 26.879156 36.385625
## 788 BE28 366 Extrapolation 0 31.854761 26.978435 36.731088
## 789 BE28 380 Extrapolation 0 32.065752 27.068710 37.062793
## 790 BE28 394 Extrapolation 0 32.265944 27.150351 37.381538
## 791 BE28 408 Extrapolation 0 32.455891 27.223731 37.688052
## 792 BE28 422 Extrapolation 0 32.636118 27.289227 37.983009
## 793 BE28 436 Extrapolation 0 32.807121 27.347215 38.267027
## 794 BE28 450 Extrapolation 0 32.969372 27.398068 38.540677
## 795 BE28 464 Extrapolation 0 33.123321 27.442153 38.804488
## 796 BE28 478 Extrapolation 0 33.269390 27.479831 39.058949
## 797 BE28 492 Extrapolation 0 33.407984 27.511455 39.304513
## 798 BE28 506 Extrapolation 0 33.539485 27.537366 39.541604
## 799 BE28 520 Extrapolation 0 33.664257 27.557898 39.770616
## 800 BE28 534 Extrapolation 0 33.782643 27.573369 39.991917
## 801 BE29 1 Rarefaction 0 1.000000 1.000000 1.000000
## 802 BE29 14 Rarefaction 0 8.453726 7.939851 8.967602
## 803 BE29 27 Rarefaction 0 12.155709 11.311795 12.999622
## 804 BE29 41 Rarefaction 0 14.623942 13.521793 15.726091
## 805 BE29 54 Rarefaction 0 16.162181 14.873344 17.451018
## 806 BE29 67 Rarefaction 0 17.277251 15.847355 18.707147
## 807 BE29 81 Rarefaction 0 18.184816 16.645223 19.724408
## 808 BE29 94 Rarefaction 0 18.848821 17.237420 20.460222
## 809 BE29 108 Rarefaction 0 19.431024 17.765589 21.096459
## 810 BE29 121 Rarefaction 0 19.880895 18.180177 21.581613
## 811 BE29 134 Rarefaction 0 20.263635 18.536808 21.990461
## 812 BE29 148 Rarefaction 0 20.616017 18.866809 22.365225
## 813 BE29 161 Rarefaction 0 20.897785 19.129805 22.665765
## 814 BE29 175 Rarefaction 0 21.160429 19.371509 22.949350
## 815 BE29 188 Rarefaction 0 21.371946 19.560826 23.183066
## 816 BE29 201 Rarefaction 0 21.556356 19.718783 23.393929
## 817 BE29 215 Rarefaction 0 21.728161 19.855915 23.600407
## 818 BE29 228 Rarefaction 0 21.865443 19.954183 23.776703
## 819 BE29 242 Rarefaction 0 21.991770 20.030165 23.953375
## 820 BE29 243 Observed 0 22.000000 20.034444 23.965556
## 821 BE29 244 Extrapolation 0 22.008130 20.038727 23.977533
## 822 BE29 256 Extrapolation 0 22.098259 20.079714 24.116805
## 823 BE29 269 Extrapolation 0 22.181976 20.105090 24.258862
## 824 BE29 282 Extrapolation 0 22.253303 20.114241 24.392366
## 825 BE29 294 Extrapolation 0 22.309737 20.110968 24.508506
## 826 BE29 307 Extrapolation 0 22.362156 20.097166 24.627147
## 827 BE29 320 Extrapolation 0 22.406817 20.074810 24.738824
## 828 BE29 333 Extrapolation 0 22.444868 20.045705 24.844032
## 829 BE29 345 Extrapolation 0 22.474974 20.014135 24.935813
## 830 BE29 358 Extrapolation 0 22.502938 19.975994 25.029882
## 831 BE29 371 Extrapolation 0 22.526764 19.934743 25.118785
## 832 BE29 384 Extrapolation 0 22.547063 19.891217 25.202909
## 833 BE29 396 Extrapolation 0 22.563124 19.849615 25.276632
## 834 BE29 409 Extrapolation 0 22.578042 19.803533 25.352550
## 835 BE29 422 Extrapolation 0 22.590752 19.756849 25.424655
## 836 BE29 435 Extrapolation 0 22.601581 19.709941 25.493222
## 837 BE29 447 Extrapolation 0 22.610149 19.666709 25.553589
## 838 BE29 460 Extrapolation 0 22.618108 19.620184 25.616031
## 839 BE29 473 Extrapolation 0 22.624888 19.574177 25.675599
## 840 BE29 486 Extrapolation 0 22.630665 19.528849 25.732481
## 841 BE3 1 Rarefaction 0 1.000000 1.000000 1.000000
## 842 BE3 17 Rarefaction 0 12.399461 12.013462 12.785459
## 843 BE3 33 Rarefaction 0 18.989242 18.165916 19.812567
## 844 BE3 49 Rarefaction 0 23.367750 22.187727 24.547772
## 845 BE3 65 Rarefaction 0 26.515115 25.031537 27.998693
## 846 BE3 82 Rarefaction 0 29.013965 27.254637 30.773292
## 847 BE3 98 Rarefaction 0 30.833874 28.853739 32.814008
## 848 BE3 114 Rarefaction 0 32.297183 30.128051 34.466316
## 849 BE3 130 Rarefaction 0 33.506064 31.174091 35.838037
## 850 BE3 147 Rarefaction 0 34.588193 32.106460 37.069927
## 851 BE3 163 Rarefaction 0 35.464880 32.860024 38.069736
## 852 BE3 179 Rarefaction 0 36.236232 33.522398 38.950066
## 853 BE3 195 Rarefaction 0 36.924028 34.112816 39.735239
## 854 BE3 211 Rarefaction 0 37.543707 34.644511 40.442903
## 855 BE3 228 Rarefaction 0 38.139947 35.155326 41.124567
## 856 BE3 244 Rarefaction 0 38.651286 35.591869 41.710704
## 857 BE3 260 Rarefaction 0 39.120701 35.990047 42.251355
## 858 BE3 276 Rarefaction 0 39.553061 36.352887 42.753236
## 859 BE3 293 Rarefaction 0 39.976190 36.701915 43.250466
## 860 BE3 294 Observed 0 40.000000 36.721309 43.278691
## 861 BE3 295 Extrapolation 0 40.023694 36.740579 43.306809
## 862 BE3 310 Extrapolation 0 40.365616 37.014632 43.716599
## 863 BE3 325 Extrapolation 0 40.683480 37.260765 44.106196
## 864 BE3 341 Extrapolation 0 40.997924 37.493207 44.502641
## 865 BE3 356 Extrapolation 0 41.271299 37.683923 44.858676
## 866 BE3 372 Extrapolation 0 41.541733 37.859763 45.223702
## 867 BE3 387 Extrapolation 0 41.776846 38.000245 45.553448
## 868 BE3 402 Extrapolation 0 41.995417 38.118692 45.872143
## 869 BE3 418 Extrapolation 0 42.211636 38.222499 46.200773
## 870 BE3 433 Extrapolation 0 42.399615 38.300321 46.498909
## 871 BE3 449 Extrapolation 0 42.585572 38.364260 46.806883
## 872 BE3 464 Extrapolation 0 42.747241 38.407837 47.086645
## 873 BE3 480 Extrapolation 0 42.907170 38.438416 47.375925
## 874 BE3 495 Extrapolation 0 43.046212 38.453510 47.638915
## 875 BE3 510 Extrapolation 0 43.175471 38.456666 47.894277
## 876 BE3 526 Extrapolation 0 43.303339 38.448094 48.158584
## 877 BE3 541 Extrapolation 0 43.414507 38.429919 48.399094
## 878 BE3 557 Extrapolation 0 43.524478 38.400772 48.648185
## 879 BE3 572 Extrapolation 0 43.620086 38.365179 48.874994
## 880 BE3 588 Extrapolation 0 43.714666 38.319277 49.110054
## 881 BE30 1 Rarefaction 0 1.000000 1.000000 1.000000
## 882 BE30 15 Rarefaction 0 8.070304 7.501120 8.639489
## 883 BE30 30 Rarefaction 0 11.723175 10.748929 12.697421
## 884 BE30 45 Rarefaction 0 14.106032 12.778113 15.433952
## 885 BE30 59 Rarefaction 0 15.756410 14.120153 17.392668
## 886 BE30 74 Rarefaction 0 17.183199 15.239473 19.126924
## 887 BE30 89 Rarefaction 0 18.399835 16.172232 20.627438
## 888 BE30 103 Rarefaction 0 19.415610 16.943039 21.888181
## 889 BE30 118 Rarefaction 0 20.417180 17.701408 23.132951
## 890 BE30 133 Rarefaction 0 21.353511 18.411985 24.295037
## 891 BE30 147 Rarefaction 0 22.181532 19.042801 25.320263
## 892 BE30 162 Rarefaction 0 23.027747 19.689890 26.365604
## 893 BE30 177 Rarefaction 0 23.836757 20.310125 27.363389
## 894 BE30 191 Rarefaction 0 24.561220 20.865857 28.256584
## 895 BE30 206 Rarefaction 0 25.306752 21.436729 29.176775
## 896 BE30 221 Rarefaction 0 26.022146 21.982015 30.062277
## 897 BE30 235 Rarefaction 0 26.663821 22.467548 30.860094
## 898 BE30 250 Rarefaction 0 27.324546 22.962339 31.686754
## 899 BE30 265 Rarefaction 0 27.958647 23.430538 32.486755
## 900 BE30 266 Observed 0 28.000000 23.460801 32.539199
## 901 BE30 267 Extrapolation 0 28.041240 23.490944 32.591537
## 902 BE30 280 Extrapolation 0 28.567203 23.871915 33.262492
## 903 BE30 294 Extrapolation 0 29.113055 24.259469 33.966642
## 904 BE30 308 Extrapolation 0 29.638360 24.623424 34.653297
## 905 BE30 322 Extrapolation 0 30.143891 24.963907 35.323876
## 906 BE30 336 Extrapolation 0 30.630393 25.281195 35.979592
## 907 BE30 350 Extrapolation 0 31.098582 25.575692 36.621471
## 908 BE30 364 Extrapolation 0 31.549146 25.847912 37.250381
## 909 BE30 378 Extrapolation 0 31.982751 26.098450 37.867051
## 910 BE30 392 Extrapolation 0 32.400033 26.327969 38.472097
## 911 BE30 406 Extrapolation 0 32.801608 26.537177 39.066038
## 912 BE30 420 Extrapolation 0 33.188066 26.726814 39.649318
## 913 BE30 434 Extrapolation 0 33.559977 26.897636 40.222318
## 914 BE30 448 Extrapolation 0 33.917889 27.050409 40.785368
## 915 BE30 462 Extrapolation 0 34.262327 27.185896 41.338759
## 916 BE30 476 Extrapolation 0 34.593801 27.304851 41.882750
## 917 BE30 490 Extrapolation 0 34.912796 27.408017 42.417576
## 918 BE30 504 Extrapolation 0 35.219784 27.496116 42.943452
## 919 BE30 518 Extrapolation 0 35.515216 27.569854 43.460578
## 920 BE30 532 Extrapolation 0 35.799528 27.629912 43.969143
## 921 BE4 1 Rarefaction 0 1.000000 1.000000 1.000000
## 922 BE4 23 Rarefaction 0 13.387594 12.739897 14.035291
## 923 BE4 46 Rarefaction 0 18.785704 17.579160 19.992247
## 924 BE4 69 Rarefaction 0 21.872317 20.310661 23.433974
## 925 BE4 92 Rarefaction 0 23.916708 22.105974 25.727441
## 926 BE4 115 Rarefaction 0 25.384883 23.378904 27.390861
## 927 BE4 138 Rarefaction 0 26.498154 24.321734 28.674573
## 928 BE4 161 Rarefaction 0 27.377436 25.040180 29.714692
## 929 BE4 184 Rarefaction 0 28.095194 25.599829 30.590559
## 930 BE4 207 Rarefaction 0 28.697752 26.044526 31.350978
## 931 BE4 230 Rarefaction 0 29.216086 26.404669 32.027502
## 932 BE4 253 Rarefaction 0 29.671586 26.701652 32.641521
## 933 BE4 276 Rarefaction 0 30.079407 26.950641 33.208173
## 934 BE4 299 Rarefaction 0 30.450540 27.162480 33.738599
## 935 BE4 322 Rarefaction 0 30.793173 27.345047 34.241299
## 936 BE4 345 Rarefaction 0 31.113604 27.504223 34.722985
## 937 BE4 368 Rarefaction 0 31.416859 27.644582 35.189135
## 938 BE4 391 Rarefaction 0 31.707107 27.769859 35.644356
## 939 BE4 414 Rarefaction 0 31.987952 27.883274 36.092629
## 940 BE4 415 Observed 0 32.000000 27.887982 36.112018
## 941 BE4 416 Extrapolation 0 32.012037 27.892672 36.131401
## 942 BE4 437 Extrapolation 0 32.262138 27.987124 36.537152
## 943 BE4 459 Extrapolation 0 32.518765 28.078119 36.959410
## 944 BE4 481 Extrapolation 0 32.769997 28.161447 37.378548
## 945 BE4 503 Extrapolation 0 33.015949 28.237573 37.794324
## 946 BE4 524 Extrapolation 0 33.245895 28.303940 38.187851
## 947 BE4 546 Extrapolation 0 33.481842 28.367291 38.596393
## 948 BE4 568 Extrapolation 0 33.712829 28.424740 39.000918
## 949 BE4 590 Extrapolation 0 33.938960 28.476691 39.401230
## 950 BE4 612 Extrapolation 0 34.160338 28.523526 39.797150
## 951 BE4 633 Extrapolation 0 34.367310 28.563793 40.170828
## 952 BE4 655 Extrapolation 0 34.579683 28.601649 40.557717
## 953 BE4 677 Extrapolation 0 34.787592 28.635390 40.939793
## 954 BE4 699 Extrapolation 0 34.991130 28.665308 41.316951
## 955 BE4 721 Extrapolation 0 35.190389 28.691676 41.689102
## 956 BE4 742 Extrapolation 0 35.376682 28.713764 42.039600
## 957 BE4 764 Extrapolation 0 35.567836 28.733901 42.401771
## 958 BE4 786 Extrapolation 0 35.754972 28.751177 42.758767
## 959 BE4 808 Extrapolation 0 35.938174 28.765789 43.110559
## 960 BE4 830 Extrapolation 0 36.117525 28.777920 43.457130
## 961 BE5 1 Rarefaction 0 1.000000 1.000000 1.000000
## 962 BE5 11 Rarefaction 0 4.931670 4.362784 5.500557
## 963 BE5 22 Rarefaction 0 7.721929 6.889876 8.553983
## 964 BE5 33 Rarefaction 0 9.731952 8.748213 10.715691
## 965 BE5 44 Rarefaction 0 11.206000 10.107436 12.304565
## 966 BE5 55 Rarefaction 0 12.308909 11.104994 13.512825
## 967 BE5 66 Rarefaction 0 13.152248 11.844661 14.459836
## 968 BE5 77 Rarefaction 0 13.812089 12.402223 15.221956
## 969 BE5 88 Rarefaction 0 14.340881 12.831729 15.850033
## 970 BE5 99 Rarefaction 0 14.775257 13.171081 16.379434
## 971 BE5 110 Rarefaction 0 15.141114 13.446572 16.835656
## 972 BE5 121 Rarefaction 0 15.456892 13.676301 17.237484
## 973 BE5 132 Rarefaction 0 15.735721 13.872592 17.598850
## 974 BE5 143 Rarefaction 0 15.986848 14.043677 17.930020
## 975 BE5 154 Rarefaction 0 16.216635 14.194842 18.238428
## 976 BE5 165 Rarefaction 0 16.429282 14.329248 18.529316
## 977 BE5 176 Rarefaction 0 16.627387 14.448511 18.806263
## 978 BE5 187 Rarefaction 0 16.812386 14.553154 19.071619
## 979 BE5 198 Rarefaction 0 16.984925 14.642968 19.326881
## 980 BE5 199 Observed 0 17.000000 14.650378 19.349622
## 981 BE5 200 Extrapolation 0 17.014975 14.657249 19.372700
## 982 BE5 210 Extrapolation 0 17.159320 14.719974 19.598666
## 983 BE5 220 Extrapolation 0 17.294296 14.772443 19.816149
## 984 BE5 231 Extrapolation 0 17.432672 14.819289 20.046055
## 985 BE5 241 Extrapolation 0 17.549904 14.852791 20.247016
## 986 BE5 252 Extrapolation 0 17.670089 14.880475 20.459703
## 987 BE5 262 Extrapolation 0 17.771910 14.897976 20.645843
## 988 BE5 272 Extrapolation 0 17.867121 14.908772 20.825471
## 989 BE5 283 Extrapolation 0 17.964731 14.913542 21.015921
## 990 BE5 293 Extrapolation 0 18.047426 14.911963 21.182890
## 991 BE5 304 Extrapolation 0 18.132205 14.904298 21.360111
## 992 BE5 314 Extrapolation 0 18.204029 14.892418 21.515639
## 993 BE5 325 Extrapolation 0 18.277662 14.874451 21.680874
## 994 BE5 335 Extrapolation 0 18.340044 14.854078 21.826011
## 995 BE5 345 Extrapolation 0 18.398377 14.830226 21.966529
## 996 BE5 356 Extrapolation 0 18.458180 14.800365 22.115995
## 997 BE5 366 Extrapolation 0 18.508844 14.770257 22.247431
## 998 BE5 377 Extrapolation 0 18.560785 14.734232 22.387338
## 999 BE5 387 Extrapolation 0 18.604789 14.699123 22.510455
## 1000 BE5 398 Extrapolation 0 18.649902 14.658209 22.641595
## 1001 BE6 1 Rarefaction 0 1.000000 1.000000 1.000000
## 1002 BE6 12 Rarefaction 0 6.975703 6.347403 7.604003
## 1003 BE6 23 Rarefaction 0 10.431183 9.452244 11.410122
## 1004 BE6 35 Rarefaction 0 13.070098 11.797735 14.342461
## 1005 BE6 46 Rarefaction 0 14.898257 13.389650 16.406865
## 1006 BE6 58 Rarefaction 0 16.496117 14.748045 18.244188
## 1007 BE6 69 Rarefaction 0 17.717360 15.759827 19.674893
## 1008 BE6 81 Rarefaction 0 18.863366 16.684540 21.042191
## 1009 BE6 92 Rarefaction 0 19.787112 17.410320 22.163904
## 1010 BE6 104 Rarefaction 0 20.688741 18.100336 23.277146
## 1011 BE6 115 Rarefaction 0 21.437318 18.658522 24.216114
## 1012 BE6 126 Rarefaction 0 22.124425 19.158529 25.090320
## 1013 BE6 138 Rarefaction 0 22.814778 19.648518 25.981039
## 1014 BE6 149 Rarefaction 0 23.401033 20.054576 26.747491
## 1015 BE6 161 Rarefaction 0 23.996785 20.457574 27.535995
## 1016 BE6 172 Rarefaction 0 24.508027 20.795614 28.220439
## 1017 BE6 184 Rarefaction 0 25.032957 21.135275 28.930640
## 1018 BE6 195 Rarefaction 0 25.488356 21.423963 29.552749
## 1019 BE6 207 Rarefaction 0 25.961538 21.718203 30.204874
## 1020 BE6 208 Observed 0 26.000000 21.741868 30.258132
## 1021 BE6 209 Extrapolation 0 26.038323 21.765406 30.311239
## 1022 BE6 219 Extrapolation 0 26.414022 21.993729 30.834315
## 1023 BE6 230 Extrapolation 0 26.811897 22.230076 31.393717
## 1024 BE6 241 Extrapolation 0 27.194253 22.451025 31.937481
## 1025 BE6 252 Extrapolation 0 27.561697 22.656833 32.466561
## 1026 BE6 263 Extrapolation 0 27.914810 22.847868 32.981751
## 1027 BE6 274 Extrapolation 0 28.254150 23.024583 33.483718
## 1028 BE6 285 Extrapolation 0 28.580256 23.187489 33.973023
## 1029 BE6 296 Extrapolation 0 28.893643 23.337138 34.450147
## 1030 BE6 307 Extrapolation 0 29.194807 23.474101 34.915512
## 1031 BE6 317 Extrapolation 0 29.458387 23.588092 35.328683
## 1032 BE6 328 Extrapolation 0 29.737525 23.702441 35.772609
## 1033 BE6 339 Extrapolation 0 30.005776 23.805776 36.205776
## 1034 BE6 350 Extrapolation 0 30.263565 23.898649 36.628480
## 1035 BE6 361 Extrapolation 0 30.511299 23.981596 37.041002
## 1036 BE6 372 Extrapolation 0 30.749371 24.055131 37.443611
## 1037 BE6 383 Extrapolation 0 30.978158 24.119749 37.836567
## 1038 BE6 394 Extrapolation 0 31.198021 24.175920 38.220123
## 1039 BE6 405 Extrapolation 0 31.409310 24.224094 38.594526
## 1040 BE6 416 Extrapolation 0 31.612358 24.264699 38.960016
## 1041 BE7 1 Rarefaction 0 1.000000 1.000000 1.000000
## 1042 BE7 30 Rarefaction 0 9.448944 8.830456 10.067433
## 1043 BE7 60 Rarefaction 0 13.036941 12.128578 13.945303
## 1044 BE7 90 Rarefaction 0 15.324703 14.170748 16.478659
## 1045 BE7 120 Rarefaction 0 17.052653 15.673668 18.431639
## 1046 BE7 150 Rarefaction 0 18.462129 16.870756 20.053502
## 1047 BE7 180 Rarefaction 0 19.662846 17.869392 21.456301
## 1048 BE7 210 Rarefaction 0 20.716161 18.730236 22.702087
## 1049 BE7 240 Rarefaction 0 21.660099 19.490582 23.829616
## 1050 BE7 270 Rarefaction 0 22.519277 20.174058 24.864496
## 1051 BE7 299 Rarefaction 0 23.284602 20.776043 25.793161
## 1052 BE7 329 Rarefaction 0 24.019588 21.347870 26.691306
## 1053 BE7 359 Rarefaction 0 24.704430 21.874733 27.534127
## 1054 BE7 389 Rarefaction 0 25.344558 22.361530 28.327586
## 1055 BE7 419 Rarefaction 0 25.943950 22.811874 29.076027
## 1056 BE7 449 Rarefaction 0 26.505614 23.228501 29.782726
## 1057 BE7 479 Rarefaction 0 27.031879 23.613502 30.450255
## 1058 BE7 509 Rarefaction 0 27.524583 23.968426 31.080740
## 1059 BE7 539 Rarefaction 0 27.985185 24.294332 31.676038
## 1060 BE7 540 Observed 0 28.000000 24.304704 31.695296
## 1061 BE7 541 Extrapolation 0 28.014781 24.315044 31.714517
## 1062 BE7 569 Extrapolation 0 28.415036 24.591652 32.238420
## 1063 BE7 597 Extrapolation 0 28.790155 24.843860 32.736449
## 1064 BE7 626 Extrapolation 0 29.153854 25.080299 33.227410
## 1065 BE7 654 Extrapolation 0 29.482575 25.285694 33.679455
## 1066 BE7 682 Extrapolation 0 29.790651 25.469709 34.111592
## 1067 BE7 711 Extrapolation 0 30.089348 25.638999 34.539698
## 1068 BE7 739 Extrapolation 0 30.359318 25.783126 34.935511
## 1069 BE7 767 Extrapolation 0 30.612334 25.909496 35.315172
## 1070 BE7 796 Extrapolation 0 30.857647 26.022951 35.692344
## 1071 BE7 824 Extrapolation 0 31.079367 26.116888 36.041846
## 1072 BE7 853 Extrapolation 0 31.294337 26.199257 36.389418
## 1073 BE7 881 Extrapolation 0 31.488633 26.265513 36.711752
## 1074 BE7 909 Extrapolation 0 31.670726 26.319793 37.021659
## 1075 BE7 938 Extrapolation 0 31.847276 26.364443 37.330108
## 1076 BE7 966 Extrapolation 0 32.006846 26.397346 37.616345
## 1077 BE7 994 Extrapolation 0 32.156394 26.421106 37.891683
## 1078 BE7 1023 Extrapolation 0 32.301391 26.436943 38.165839
## 1079 BE7 1051 Extrapolation 0 32.432442 26.444545 38.420338
## 1080 BE7 1080 Extrapolation 0 32.559503 26.445213 38.673793
## 1081 BE8 1 Rarefaction 0 1.000000 1.000000 1.000000
## 1082 BE8 13 Rarefaction 0 7.833924 7.347436 8.320413
## 1083 BE8 25 Rarefaction 0 11.798526 11.005709 12.591343
## 1084 BE8 37 Rarefaction 0 14.514179 13.468199 15.560158
## 1085 BE8 49 Rarefaction 0 16.470219 15.214064 17.726374
## 1086 BE8 61 Rarefaction 0 17.932717 16.499954 19.365479
## 1087 BE8 73 Rarefaction 0 19.059251 17.475135 20.643366
## 1088 BE8 85 Rarefaction 0 19.948935 18.232451 21.665420
## 1089 BE8 97 Rarefaction 0 20.667021 18.832225 22.501817
## 1090 BE8 109 Rarefaction 0 21.257979 19.314881 23.201076
## 1091 BE8 121 Rarefaction 0 21.752904 19.708184 23.797624
## 1092 BE8 133 Rarefaction 0 22.173931 20.031615 24.316248
## 1093 BE8 145 Rarefaction 0 22.537003 20.299098 24.774909
## 1094 BE8 157 Rarefaction 0 22.853691 20.520749 25.186633
## 1095 BE8 169 Rarefaction 0 23.132453 20.704044 25.560862
## 1096 BE8 181 Rarefaction 0 23.379539 20.854622 25.904456
## 1097 BE8 193 Rarefaction 0 23.599636 20.976842 26.222429
## 1098 BE8 205 Rarefaction 0 23.796339 21.074174 26.518504
## 1099 BE8 218 Rarefaction 0 23.986301 21.154801 26.817802
## 1100 BE8 219 Observed 0 24.000000 21.160018 26.839982
## 1101 BE8 220 Extrapolation 0 24.013574 21.165109 26.862039
## 1102 BE8 231 Extrapolation 0 24.154987 21.213108 27.096865
## 1103 BE8 242 Extrapolation 0 24.282883 21.247687 27.318080
## 1104 BE8 254 Extrapolation 0 24.408507 21.271989 27.545025
## 1105 BE8 265 Extrapolation 0 24.512173 21.283488 27.740859
## 1106 BE8 277 Extrapolation 0 24.613997 21.285773 27.942222
## 1107 BE8 288 Extrapolation 0 24.698023 21.279631 28.116416
## 1108 BE8 300 Extrapolation 0 24.780556 21.265096 28.296016
## 1109 BE8 311 Extrapolation 0 24.848663 21.245491 28.451836
## 1110 BE8 323 Extrapolation 0 24.915560 21.218140 28.612980
## 1111 BE8 334 Extrapolation 0 24.970764 21.188303 28.753225
## 1112 BE8 346 Extrapolation 0 25.024987 21.151250 28.898724
## 1113 BE8 357 Extrapolation 0 25.069732 21.113707 29.025758
## 1114 BE8 369 Extrapolation 0 25.113682 21.069396 29.157969
## 1115 BE8 380 Extrapolation 0 25.149951 21.026136 29.273765
## 1116 BE8 392 Extrapolation 0 25.185574 20.976497 29.394651
## 1117 BE8 403 Extrapolation 0 25.214971 20.929097 29.500845
## 1118 BE8 415 Extrapolation 0 25.243846 20.875662 29.612030
## 1119 BE8 426 Extrapolation 0 25.267673 20.825371 29.709976
## 1120 BE8 438 Extrapolation 0 25.291078 20.769354 29.812801
## 1121 BE9 1 Rarefaction 0 1.000000 1.000000 1.000000
## 1122 BE9 18 Rarefaction 0 11.347815 10.764043 11.931588
## 1123 BE9 35 Rarefaction 0 16.420869 15.284003 17.557736
## 1124 BE9 52 Rarefaction 0 19.580958 17.989329 21.172587
## 1125 BE9 69 Rarefaction 0 21.812284 19.835954 23.788613
## 1126 BE9 86 Rarefaction 0 23.518079 21.207809 25.828349
## 1127 BE9 103 Rarefaction 0 24.890987 22.284297 27.497676
## 1128 BE9 120 Rarefaction 0 26.034800 23.159722 28.909878
## 1129 BE9 137 Rarefaction 0 27.011773 23.889233 30.134313
## 1130 BE9 155 Rarefaction 0 27.909687 24.541943 31.277431
## 1131 BE9 172 Rarefaction 0 28.658911 25.071213 32.246610
## 1132 BE9 189 Rarefaction 0 29.333755 25.534389 33.133121
## 1133 BE9 206 Rarefaction 0 29.950244 25.945428 33.955060
## 1134 BE9 223 Rarefaction 0 30.520680 26.315220 34.726140
## 1135 BE9 240 Rarefaction 0 31.054533 26.652285 35.456781
## 1136 BE9 257 Rarefaction 0 31.559108 26.963264 36.154953
## 1137 BE9 274 Rarefaction 0 32.040079 27.253305 36.826853
## 1138 BE9 291 Rarefaction 0 32.501933 27.526392 37.477475
## 1139 BE9 309 Rarefaction 0 32.974194 27.800496 38.147891
## 1140 BE9 310 Observed 0 33.000000 27.815330 38.184670
## 1141 BE9 311 Extrapolation 0 33.025765 27.830124 38.221406
## 1142 BE9 327 Extrapolation 0 33.432386 28.061383 38.803388
## 1143 BE9 343 Extrapolation 0 33.828623 28.282421 39.374824
## 1144 BE9 359 Extrapolation 0 34.214741 28.493277 39.936204
## 1145 BE9 376 Extrapolation 0 34.614193 28.706233 40.522152
## 1146 BE9 392 Extrapolation 0 34.980249 28.896341 41.064158
## 1147 BE9 408 Extrapolation 0 35.336958 29.076579 41.597338
## 1148 BE9 424 Extrapolation 0 35.684557 29.247115 42.122000
## 1149 BE9 441 Extrapolation 0 36.044160 29.417901 42.670420
## 1150 BE9 457 Extrapolation 0 36.373700 29.569081 43.178318
## 1151 BE9 473 Extrapolation 0 36.694823 29.711243 43.678403
## 1152 BE9 489 Extrapolation 0 37.007746 29.844651 44.170842
## 1153 BE9 506 Extrapolation 0 37.331476 29.977112 44.685839
## 1154 BE9 522 Extrapolation 0 37.628140 30.093345 45.162935
## 1155 BE9 538 Extrapolation 0 37.917229 30.201696 45.632762
## 1156 BE9 554 Extrapolation 0 38.198935 30.302457 46.095413
## 1157 BE9 571 Extrapolation 0 38.490369 30.401530 46.579209
## 1158 BE9 587 Extrapolation 0 38.757439 30.487567 47.027311
## 1159 BE9 603 Extrapolation 0 39.017688 30.566909 47.468468
## 1160 BE9 620 Extrapolation 0 39.286925 30.644189 47.929661
## SC SC.LCL SC.UCL
## 1 0.39408233 0.32066435 0.46750032
## 2 0.81624211 0.79340912 0.83907510
## 3 0.89466850 0.87355031 0.91578669
## 4 0.92783458 0.90936847 0.94630069
## 5 0.94612194 0.93037168 0.96187220
## 6 0.95625438 0.94268938 0.96981938
## 7 0.96206318 0.95004302 0.97408334
## 8 0.96623309 0.95540730 0.97705887
## 9 0.96906748 0.95901647 0.97911849
## 10 0.97146996 0.96198288 0.98095704
## 11 0.97349012 0.96437402 0.98260622
## 12 0.97516349 0.96627307 0.98405391
## 13 0.97680512 0.96806479 0.98554545
## 14 0.97823491 0.96956954 0.98690029
## 15 0.97968357 0.97104025 0.98832689
## 16 0.98106612 0.97238857 0.98974368
## 17 0.98231255 0.97355136 0.99107374
## 18 0.98361695 0.97470709 0.99252680
## 19 0.98490566 0.97578103 0.99403029
## 20 0.98499094 0.97585382 0.99412805
## 21 0.98507574 0.97592655 0.99422492
## 22 0.98613547 0.97686561 0.99540533
## 23 0.98719272 0.97785935 0.99652610
## 24 0.98816936 0.97882659 0.99751213
## 25 0.98907151 0.97976008 0.99838295
## 26 0.98990488 0.98065516 0.99915459
## 27 0.99067469 0.98150945 0.99983994
## 28 0.99138580 0.98232221 1.00000000
## 29 0.99204269 0.98309386 1.00000000
## 30 0.99264948 0.98382547 1.00000000
## 31 0.99317142 0.98447029 1.00000000
## 32 0.99369214 0.98512913 1.00000000
## 33 0.99417315 0.98575284 1.00000000
## 34 0.99461749 0.98634327 1.00000000
## 35 0.99502793 0.98690222 1.00000000
## 36 0.99540708 0.98743147 1.00000000
## 37 0.99575732 0.98793271 1.00000000
## 38 0.99608085 0.98840755 1.00000000
## 39 0.99637971 0.98885753 1.00000000
## 40 0.99665578 0.98928412 1.00000000
## 41 0.11437151 0.09059239 0.13815062
## 42 0.71404958 0.69096707 0.73713209
## 43 0.83540700 0.81818099 0.85263301
## 44 0.89049748 0.87595890 0.90503607
## 45 0.91979580 0.90639581 0.93319579
## 46 0.93844882 0.92569516 0.95120249
## 47 0.95154502 0.93929757 0.96379248
## 48 0.96032455 0.94851567 0.97213343
## 49 0.96693307 0.95555361 0.97831252
## 50 0.97160537 0.96059486 0.98261587
## 51 0.97513590 0.96443260 0.98583920
## 52 0.97793683 0.96747423 0.98839942
## 53 0.97999182 0.96967948 0.99030415
## 54 0.98164233 0.97140713 0.99187754
## 55 0.98286542 0.97263638 0.99309445
## 56 0.98382524 0.97354580 0.99410468
## 57 0.98462189 0.97423880 0.99500497
## 58 0.98524932 0.97472431 0.99577434
## 59 0.98581560 0.97510139 0.99652982
## 60 0.98583798 0.97511504 0.99656091
## 61 0.98586031 0.97512875 0.99659188
## 62 0.98634292 0.97544565 0.99724019
## 63 0.98680906 0.97579220 0.99782593
## 64 0.98725929 0.97616595 0.99835263
## 65 0.98769415 0.97656264 0.99882566
## 66 0.98813292 0.97699673 0.99926910
## 67 0.98853796 0.97742576 0.99965016
## 68 0.98892918 0.97786419 0.99999417
## 69 0.98930704 0.97830853 1.00000000
## 70 0.98967201 0.97875585 1.00000000
## 71 0.99004026 0.97922404 1.00000000
## 72 0.99038020 0.97967031 1.00000000
## 73 0.99070854 0.98011342 1.00000000
## 74 0.99102567 0.98055205 1.00000000
## 75 0.99133198 0.98098516 1.00000000
## 76 0.99164104 0.98143115 1.00000000
## 77 0.99192634 0.98185057 1.00000000
## 78 0.99220191 0.98226246 1.00000000
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## 884 0.86776594 0.84018962 0.89534225
## 885 0.89591358 0.87063099 0.92119617
## 886 0.91348927 0.89052466 0.93645388
## 887 0.92418871 0.90324757 0.94512985
## 888 0.93076971 0.91138935 0.95015006
## 889 0.93575362 0.91768840 0.95381884
## 890 0.93949814 0.92240374 0.95659254
## 891 0.94233594 0.92587153 0.95880035
## 892 0.94495353 0.92890984 0.96099722
## 893 0.94729956 0.93145647 0.96314265
## 894 0.94932979 0.93351114 0.96514845
## 895 0.95138528 0.93545164 0.96731892
## 896 0.95334522 0.93717849 0.96951196
## 897 0.95510128 0.93862961 0.97157295
## 898 0.95691039 0.94003256 0.97378821
## 899 0.95864662 0.94128904 0.97600419
## 900 0.95875980 0.94136804 0.97615155
## 901 0.95887267 0.94144673 0.97629860
## 902 0.96031218 0.94244634 0.97817802
## 903 0.96180613 0.94348715 0.98012512
## 904 0.96324385 0.94450401 0.98198369
## 905 0.96462744 0.94550428 0.98375061
## 906 0.96595896 0.94649157 0.98542634
## 907 0.96724035 0.94746726 0.98701344
## 908 0.96847351 0.94843145 0.98851556
## 909 0.96966024 0.94938359 0.98993690
## 910 0.97080231 0.95032280 0.99128182
## 911 0.97190138 0.95124811 0.99255466
## 912 0.97295909 0.95215861 0.99375957
## 913 0.97397698 0.95305347 0.99490048
## 914 0.97495655 0.95393200 0.99598110
## 915 0.97589925 0.95479364 0.99700486
## 916 0.97680646 0.95563798 0.99797494
## 917 0.97767953 0.95646475 0.99889430
## 918 0.97851973 0.95727377 0.99976568
## 919 0.97932830 0.95806498 1.00000000
## 920 0.98010643 0.95883839 1.00000000
## 921 0.06215005 0.05462919 0.06967091
## 922 0.67668557 0.64526906 0.70810208
## 923 0.83245344 0.81097545 0.85393143
## 924 0.89425700 0.87779067 0.91072334
## 925 0.92632696 0.91222002 0.94043391
## 926 0.94533766 0.93237931 0.95829600
## 927 0.95755552 0.94531303 0.96979801
## 928 0.96584105 0.95419772 0.97748437
## 929 0.97167392 0.96058533 0.98276251
## 930 0.97589497 0.96530443 0.98648551
## 931 0.97901707 0.96884348 0.98919067
## 932 0.98136907 0.97151720 0.99122093
## 933 0.98316847 0.97354195 0.99279500
## 934 0.98456145 0.97507241 0.99405049
## 935 0.98564665 0.97622134 0.99507197
## 936 0.98649055 0.97707133 0.99590976
## 937 0.98713778 0.97768260 0.99659296
## 938 0.98761825 0.97809841 0.99713810
## 939 0.98795181 0.97834896 0.99755466
## 940 0.98796344 0.97835695 0.99756992
## 941 0.98797506 0.97836496 0.99758515
## 942 0.98821647 0.97853775 0.99789518
## 943 0.98846418 0.97872944 0.99819892
## 944 0.98870668 0.97893301 0.99848035
## 945 0.98894408 0.97914841 0.99873975
## 946 0.98916604 0.97936442 0.99896765
## 947 0.98939379 0.97960062 0.99918695
## 948 0.98961675 0.97984575 0.99938775
## 949 0.98983502 0.98009853 0.99957151
## 950 0.99004871 0.98035771 0.99973970
## 951 0.99024849 0.98060997 0.99988700
## 952 0.99045348 0.98087827 1.00000000
## 953 0.99065416 0.98114968 1.00000000
## 954 0.99085063 0.98142326 1.00000000
## 955 0.99104296 0.98169819 1.00000000
## 956 0.99122278 0.98196121 1.00000000
## 957 0.99140729 0.98223674 1.00000000
## 958 0.99158793 0.98251169 1.00000000
## 959 0.99176476 0.98278557 1.00000000
## 960 0.99193788 0.98305794 1.00000000
## 961 0.35175879 0.27215563 0.43136196
## 962 0.70561264 0.67131018 0.73991509
## 963 0.78940774 0.76684900 0.81196647
## 964 0.84680123 0.82712921 0.86647326
## 965 0.88639405 0.86768635 0.90510175
## 966 0.91396162 0.89605519 0.93186804
## 967 0.93336108 0.91640659 0.95031558
## 968 0.94715818 0.93124487 0.96307149
## 969 0.95706396 0.94215635 0.97197156
## 970 0.96423172 0.95020132 0.97826211
## 971 0.96945380 0.95612790 0.98277969
## 972 0.97328841 0.96048784 0.98608897
## 973 0.97613936 0.96369854 0.98858018
## 974 0.97830520 0.96607744 0.99053296
## 975 0.98000924 0.96786352 0.99215496
## 976 0.98141829 0.96923317 0.99360341
## 977 0.98265471 0.97031307 0.99499635
## 978 0.98380479 0.97119090 0.99641867
## 979 0.98492462 0.97192367 0.99792557
## 980 0.98502546 0.97168150 0.99836943
## 981 0.98512563 0.97178592 0.99846533
## 982 0.98609115 0.97280515 0.99937714
## 983 0.98699399 0.97378496 1.00000000
## 984 0.98791959 0.97482071 1.00000000
## 985 0.98870375 0.97572456 1.00000000
## 986 0.98950766 0.97667753 1.00000000
## 987 0.99018874 0.97750696 1.00000000
## 988 0.99082560 0.97830216 1.00000000
## 989 0.99147851 0.97913870 1.00000000
## 990 0.99203166 0.97986580 1.00000000
## 991 0.99259874 0.98063043 1.00000000
## 992 0.99307917 0.98129493 1.00000000
## 993 0.99357170 0.98199368 1.00000000
## 994 0.99398897 0.98260091 1.00000000
## 995 0.99437916 0.98318264 1.00000000
## 996 0.99477917 0.98379438 1.00000000
## 997 0.99511806 0.98432604 1.00000000
## 998 0.99546549 0.98488521 1.00000000
## 999 0.99575984 0.98537125 1.00000000
## 1000 0.99606159 0.98588256 1.00000000
## 1001 0.16285767 0.11474082 0.21097453
## 1002 0.62516048 0.58187051 0.66845044
## 1003 0.74446809 0.70940344 0.77953274
## 1004 0.81486415 0.78364893 0.84607937
## 1005 0.85340245 0.82465570 0.88214920
## 1006 0.88068497 0.85392615 0.90744379
## 1007 0.89790082 0.87247734 0.92332429
## 1008 0.91153339 0.88719505 0.93587173
## 1009 0.92098749 0.89741754 0.94455745
## 1010 0.92910660 0.90621873 0.95199446
## 1011 0.93515474 0.91279907 0.95751042
## 1012 0.94024272 0.91835517 0.96213026
## 1013 0.94496635 0.92352576 0.96640694
## 1014 0.94869526 0.92760298 0.96978753
## 1015 0.95221972 0.93142820 0.97301123
## 1016 0.95501693 0.93441197 0.97562188
## 1017 0.95764300 0.93712115 0.97816486
## 1018 0.95968731 0.93910787 0.98026675
## 1019 0.96153846 0.94072259 0.98235434
## 1020 0.96167731 0.94083436 0.98252027
## 1021 0.96181566 0.94094573 0.98268559
## 1022 0.96317198 0.94204307 0.98430088
## 1023 0.96460835 0.94323127 0.98598543
## 1024 0.96598870 0.94441308 0.98756431
## 1025 0.96731521 0.94559358 0.98903683
## 1026 0.96858998 0.94677298 0.99040698
## 1027 0.96981504 0.94794911 0.99168097
## 1028 0.97099232 0.94911878 0.99286585
## 1029 0.97212368 0.95027861 0.99396874
## 1030 0.97321091 0.95142540 0.99499642
## 1031 0.97416246 0.95245421 0.99587072
## 1032 0.97517018 0.95356858 0.99677179
## 1033 0.97613860 0.95466289 0.99761431
## 1034 0.97706924 0.95573557 0.99840291
## 1035 0.97796359 0.95678546 0.99914172
## 1036 0.97882306 0.95781169 0.99983442
## 1037 0.97964900 0.95881370 1.00000000
## 1038 0.98044273 0.95979115 1.00000000
## 1039 0.98120551 0.96074391 1.00000000
## 1040 0.98193853 0.96167198 1.00000000
## 1041 0.28952106 0.24619691 0.33284522
## 1042 0.83973690 0.82435108 0.85512272
## 1043 0.90966913 0.89779991 0.92153835
## 1044 0.93536280 0.92517934 0.94554627
## 1045 0.94870255 0.93944938 0.95795572
## 1046 0.95704294 0.94846514 0.96562074
## 1047 0.96277406 0.95473771 0.97081042
## 1048 0.96693917 0.95932440 0.97455394
## 1049 0.97010412 0.96280376 0.97740448
## 1050 0.97261278 0.96554346 0.97968210
## 1051 0.97461947 0.96771873 0.98152021
## 1052 0.97639921 0.96963660 0.98316182
## 1053 0.97796738 0.97131893 0.98461583
## 1054 0.97938288 0.97282999 0.98593577
## 1055 0.98068457 0.97420770 0.98716143
## 1056 0.98189892 0.97547298 0.98832485
## 1057 0.98304484 0.97663618 0.98945351
## 1058 0.98413657 0.97770140 0.99057174
## 1059 0.98518519 0.97866928 0.99170109
## 1060 0.98521946 0.97869968 0.99173925
## 1061 0.98525366 0.97873000 0.99177732
## 1062 0.98617975 0.97954945 0.99281005
## 1063 0.98704768 0.98032231 0.99377304
## 1064 0.98788919 0.98108504 0.99469333
## 1065 0.98864976 0.98179163 0.99550789
## 1066 0.98936257 0.98247270 0.99625244
## 1067 0.99005368 0.98315350 0.99695386
## 1068 0.99067832 0.98378834 0.99756830
## 1069 0.99126373 0.98440182 0.99812565
## 1070 0.99183133 0.98501513 0.99864752
## 1071 0.99234433 0.98558631 0.99910235
## 1072 0.99284172 0.98615641 0.99952702
## 1073 0.99329126 0.98668639 0.99989613
## 1074 0.99371258 0.98719658 1.00000000
## 1075 0.99412107 0.98770449 1.00000000
## 1076 0.99449028 0.98817549 1.00000000
## 1077 0.99483629 0.98862787 1.00000000
## 1078 0.99517178 0.98907728 1.00000000
## 1079 0.99547500 0.98949325 1.00000000
## 1080 0.99576898 0.98990606 1.00000000
## 1081 0.13857819 0.10574616 0.17141023
## 1082 0.60221049 0.56793235 0.63648862
## 1083 0.73498328 0.70512195 0.76484462
## 1084 0.81267267 0.78645847 0.83888687
## 1085 0.86197634 0.83857035 0.88538233
## 1086 0.89495366 0.87383237 0.91607496
## 1087 0.91789044 0.89871107 0.93706981
## 1088 0.93433024 0.91677028 0.95189020
## 1089 0.94640010 0.93013079 0.96266940
## 1090 0.95544358 0.94015534 0.97073182
## 1091 0.96234671 0.94777453 0.97691890
## 1092 0.96771483 0.95364818 0.98178147
## 1093 0.97197212 0.95825117 0.98569306
## 1094 0.97541997 0.96192474 0.98891521
## 1095 0.97827310 0.96491121 0.99163499
## 1096 0.98068353 0.96737922 0.99398784
## 1097 0.98275793 0.96944266 0.99607320
## 1098 0.98457089 0.97117483 0.99796696
## 1099 0.98630137 0.97272741 0.99987533
## 1100 0.98642590 0.97284985 1.00000000
## 1101 0.98654930 0.97297225 1.00000000
## 1102 0.98783487 0.97431281 1.00000000
## 1103 0.98899757 0.97562450 1.00000000
## 1104 0.99013960 0.97699514 1.00000000
## 1105 0.99108202 0.97818095 1.00000000
## 1106 0.99200769 0.97939019 1.00000000
## 1107 0.99277157 0.98042051 1.00000000
## 1108 0.99352187 0.98146199 1.00000000
## 1109 0.99414102 0.98234517 1.00000000
## 1110 0.99474918 0.98323610 1.00000000
## 1111 0.99525103 0.98399136 1.00000000
## 1112 0.99574397 0.98475387 1.00000000
## 1113 0.99615074 0.98540128 1.00000000
## 1114 0.99655029 0.98605629 1.00000000
## 1115 0.99688000 0.98661383 1.00000000
## 1116 0.99720385 0.98717948 1.00000000
## 1117 0.99747110 0.98766240 1.00000000
## 1118 0.99773359 0.98815388 1.00000000
## 1119 0.99795021 0.98857486 1.00000000
## 1120 0.99816297 0.98900475 1.00000000
## 1121 0.06994467 0.05767723 0.08221211
## 1122 0.61280361 0.57392831 0.65167891
## 1123 0.77559181 0.74187233 0.80931129
## 1124 0.84858102 0.81949607 0.87766598
## 1125 0.88763736 0.86220153 0.91307320
## 1126 0.91132824 0.88866836 0.93398813
## 1127 0.92712485 0.90653866 0.94771103
## 1128 0.93838891 0.91932353 0.95745429
## 1129 0.94677884 0.92880928 0.96474839
## 1130 0.95352031 0.93637482 0.97066580
## 1131 0.95842169 0.94183813 0.97500524
## 1132 0.96225639 0.94609846 0.97841433
## 1133 0.96527460 0.94945360 0.98109560
## 1134 0.96766469 0.95211879 0.98321059
## 1135 0.96957087 0.95424955 0.98489219
## 1136 0.97110286 0.95595637 0.98624936
## 1137 0.97234201 0.95731495 0.98736908
## 1138 0.97334585 0.95837387 0.98831783
## 1139 0.97419355 0.95919864 0.98918845
## 1140 0.97423524 0.95923675 0.98923372
## 1141 0.97427686 0.95927470 0.98927902
## 1142 0.97493376 0.95986268 0.99000485
## 1143 0.97557389 0.96042220 0.99072557
## 1144 0.97619766 0.96096232 0.99143301
## 1145 0.97684298 0.96152229 0.99216367
## 1146 0.97743435 0.96204118 0.99282752
## 1147 0.97801062 0.96255550 0.99346574
## 1148 0.97857217 0.96306741 0.99407692
## 1149 0.97915311 0.96361023 0.99469598
## 1150 0.97968548 0.96412091 0.99525005
## 1151 0.98020426 0.96463176 0.99577676
## 1152 0.98070979 0.96514282 0.99627675
## 1153 0.98123278 0.96568589 0.99677966
## 1154 0.98171204 0.96619675 0.99722733
## 1155 0.98217907 0.96670696 0.99765117
## 1156 0.98263416 0.96721607 0.99805226
## 1157 0.98310498 0.96775525 0.99845471
## 1158 0.98353643 0.96826057 0.99881230
## 1159 0.98395687 0.96876332 0.99915041
## 1160 0.98439182 0.96929417 0.99948947
##
## $coverage_based
## Assemblage SC m Method Order.q qD qD.LCL
## 1 BE10 0.39408454 1 Rarefaction 0 1.000005 0.8559070
## 2 BE10 0.81624219 15 Rarefaction 0 5.138523 4.2226412
## 3 BE10 0.89466844 30 Rarefaction 0 7.261202 6.0830976
## 4 BE10 0.92783460 44 Rarefaction 0 8.493793 7.0424124
## 5 BE10 0.94612196 59 Rarefaction 0 9.433918 7.7104873
## 6 BE10 0.95625439 74 Rarefaction 0 10.164353 8.1905599
## 7 BE10 0.96206318 88 Rarefaction 0 10.736163 8.5640535
## 8 BE10 0.96623309 103 Rarefaction 0 11.274110 8.9325367
## 9 BE10 0.96906748 117 Rarefaction 0 11.727560 9.2555013
## 10 BE10 0.97146996 132 Rarefaction 0 12.174118 9.5796286
## 11 BE10 0.97349012 147 Rarefaction 0 12.587567 9.8809598
## 12 BE10 0.97516349 161 Rarefaction 0 12.947639 10.1401815
## 13 BE10 0.97680512 176 Rarefaction 0 13.308532 10.3840935
## 14 BE10 0.97823491 190 Rarefaction 0 13.623868 10.5589647
## 15 BE10 0.97968357 205 Rarefaction 0 13.940110 10.7133626
## 16 BE10 0.98106612 220 Rarefaction 0 14.235107 10.8340758
## 17 BE10 0.98231255 234 Rarefaction 0 14.492039 10.9126634
## 18 BE10 0.98361695 249 Rarefaction 0 14.748190 10.9743326
## 19 BE10 0.98490566 263 Rarefaction 0 14.973973 11.0050465
## 20 BE10 0.98499094 265 Observed 0 15.000000 11.0156094
## 21 BE10 0.98507574 266 Extrapolation 0 15.015009 11.0140745
## 22 BE10 0.98613547 279 Extrapolation 0 15.202582 11.0069759
## 23 BE10 0.98719272 293 Extrapolation 0 15.389716 10.9884943
## 24 BE10 0.98816936 307 Extrapolation 0 15.562580 10.9561736
## 25 BE10 0.98907151 321 Extrapolation 0 15.722262 10.9134887
## 26 BE10 0.98990488 335 Extrapolation 0 15.869767 10.8675616
## 27 BE10 0.99067469 349 Extrapolation 0 16.006024 10.8177378
## 28 BE10 0.99138580 363 Extrapolation 0 16.131891 10.7661956
## 29 BE10 0.99204269 377 Extrapolation 0 16.248159 10.7144557
## 30 BE10 0.99264948 391 Extrapolation 0 16.355562 10.6631803
## 31 BE10 0.99317142 404 Extrapolation 0 16.447945 10.6162187
## 32 BE10 0.99369214 418 Extrapolation 0 16.540113 10.5668657
## 33 BE10 0.99417315 432 Extrapolation 0 16.625252 10.5192183
## 34 BE10 0.99461749 446 Extrapolation 0 16.703899 10.4735909
## 35 BE10 0.99502793 460 Extrapolation 0 16.776548 10.4301953
## 36 BE10 0.99540708 474 Extrapolation 0 16.843658 10.3891550
## 37 BE10 0.99575732 488 Extrapolation 0 16.905650 10.3505173
## 38 BE10 0.99608085 502 Extrapolation 0 16.962915 10.3142529
## 39 BE10 0.99637971 516 Extrapolation 0 17.015813 10.2803231
## 40 BE10 0.99665578 530 Extrapolation 0 17.064677 10.2485633
## 41 BE11 0.11437155 1 Rarefaction 0 1.000000 0.8936266
## 42 BE11 0.71404943 24 Rarefaction 0 12.039820 10.7252900
## 43 BE11 0.83540696 47 Rarefaction 0 17.059839 15.3509156
## 44 BE11 0.89049749 71 Rarefaction 0 20.301219 18.2907891
## 45 BE11 0.91979579 94 Rarefaction 0 22.469925 20.1832762
## 46 BE11 0.93844882 117 Rarefaction 0 24.094760 21.4937240
## 47 BE11 0.95154503 141 Rarefaction 0 25.411433 22.4304535
## 48 BE11 0.96032454 164 Rarefaction 0 26.423741 23.0287695
## 49 BE11 0.96693307 188 Rarefaction 0 27.295731 23.4035690
## 50 BE11 0.97160537 211 Rarefaction 0 28.002310 23.5105801
## 51 BE11 0.97513590 234 Rarefaction 0 28.614707 23.0253190
## 52 BE11 0.97793683 258 Rarefaction 0 29.177696 22.1110342
## 53 BE11 0.97999182 281 Rarefaction 0 29.661528 21.3400967
## 54 BE11 0.98164234 305 Rarefaction 0 30.121871 20.7333940
## 55 BE11 0.98286542 328 Rarefaction 0 30.530064 20.3354373
## 56 BE11 0.98382524 351 Rarefaction 0 30.913169 20.0846311
## 57 BE11 0.98462189 375 Rarefaction 0 31.291853 19.9333751
## 58 BE11 0.98524932 398 Rarefaction 0 31.638444 19.8636367
## 59 BE11 0.98581560 421 Rarefaction 0 31.975202 19.8251800
## 60 BE11 0.98583798 423 Observed 0 32.000000 19.8348774
## 61 BE11 0.98586031 424 Extrapolation 0 32.014162 19.8347847
## 62 BE11 0.98634292 446 Extrapolation 0 32.320137 19.8195703
## 63 BE11 0.98680906 468 Extrapolation 0 32.615669 19.8036102
## 64 BE11 0.98725929 490 Extrapolation 0 32.901113 19.7875311
## 65 BE11 0.98769415 512 Extrapolation 0 33.176815 19.7720073
## 66 BE11 0.98813292 535 Extrapolation 0 33.454993 19.7573797
## 67 BE11 0.98853796 557 Extrapolation 0 33.711790 19.7448808
## 68 BE11 0.98892918 579 Extrapolation 0 33.959822 19.7319296
## 69 BE11 0.98930704 601 Extrapolation 0 34.199389 19.7190781
## 70 BE11 0.98967201 623 Extrapolation 0 34.430778 19.7069403
## 71 BE11 0.99004026 646 Extrapolation 0 34.664246 19.6959806
## 72 BE11 0.99038020 668 Extrapolation 0 34.879769 19.6893160
## 73 BE11 0.99070854 690 Extrapolation 0 35.087936 19.6910254
## 74 BE11 0.99102567 712 Extrapolation 0 35.288999 19.6837161
## 75 BE11 0.99133198 734 Extrapolation 0 35.483198 19.6755459
## 76 BE11 0.99164104 757 Extrapolation 0 35.679142 19.6662579
## 77 BE11 0.99192634 779 Extrapolation 0 35.860025 19.6568102
## 78 BE11 0.99220191 801 Extrapolation 0 36.034734 19.6469464
## 79 BE11 0.99246807 823 Extrapolation 0 36.203481 19.6367972
## 80 BE11 0.99273662 846 Extrapolation 0 36.373742 19.6260367
## 81 BE12 0.11947921 1 Rarefaction 0 1.000000 0.8864801
## 82 BE12 0.63117812 12 Rarefaction 0 7.345013 6.0835245
## 83 BE12 0.77676623 24 Rarefaction 0 10.836122 9.2030156
## 84 BE12 0.83948693 35 Rarefaction 0 12.944977 11.1281444
## 85 BE12 0.87978515 47 Rarefaction 0 14.630595 12.7119772
## 86 BE12 0.90448130 58 Rarefaction 0 15.821996 13.8707730
## 87 BE12 0.92414757 70 Rarefaction 0 16.854248 14.9081404
## 88 BE12 0.93794572 81 Rarefaction 0 17.616638 15.6862880
## 89 BE12 0.94978665 93 Rarefaction 0 18.293312 16.3719873
## 90 BE12 0.95842030 104 Rarefaction 0 18.800802 16.8767265
## 91 BE12 0.96594846 116 Rarefaction 0 19.256609 17.3130985
## 92 BE12 0.97145820 127 Rarefaction 0 19.602545 17.6102544
## 93 BE12 0.97625071 139 Rarefaction 0 19.917558 17.7602550
## 94 BE12 0.97974725 150 Rarefaction 0 20.160627 17.7087435
## 95 BE12 0.98279641 162 Rarefaction 0 20.386195 17.6040444
## 96 BE12 0.98505792 173 Rarefaction 0 20.563733 17.4850933
## 97 BE12 0.98711297 185 Rarefaction 0 20.731389 17.3935364
## 98 BE12 0.98875698 196 Rarefaction 0 20.864776 17.2725823
## 99 BE12 0.99043062 208 Rarefaction 0 20.989324 17.1241647
## 100 BE12 0.99056668 209 Observed 0 21.000000 17.1125252
## 101 BE12 0.99070080 210 Extrapolation 0 21.009433 17.0991884
## 102 BE12 0.99194150 220 Extrapolation 0 21.096696 16.9717298
## 103 BE12 0.99311595 231 Extrapolation 0 21.179299 16.8448250
## 104 BE12 0.99411924 242 Extrapolation 0 21.249863 16.7320264
## 105 BE12 0.99497630 253 Extrapolation 0 21.310144 16.6326838
## 106 BE12 0.99570846 264 Extrapolation 0 21.361639 16.5458513
## 107 BE12 0.99633391 275 Extrapolation 0 21.405629 16.4704300
## 108 BE12 0.99686821 286 Extrapolation 0 21.443208 16.4051443
## 109 BE12 0.99732464 297 Extrapolation 0 21.475310 16.3487720
## 110 BE12 0.99771455 308 Extrapolation 0 21.502734 16.3001909
## 111 BE12 0.99804763 319 Extrapolation 0 21.526160 16.2583864
## 112 BE12 0.99833217 330 Extrapolation 0 21.546173 16.2224585
## 113 BE12 0.99857524 341 Extrapolation 0 21.563269 16.1916097
## 114 BE12 0.99878289 352 Extrapolation 0 21.577873 16.1651447
## 115 BE12 0.99896027 363 Extrapolation 0 21.590349 16.1424542
## 116 BE12 0.99911180 374 Extrapolation 0 21.601007 16.1230117
## 117 BE12 0.99924125 385 Extrapolation 0 21.610111 16.1063594
## 118 BE12 0.99935183 396 Extrapolation 0 21.617889 16.0921001
## 119 BE12 0.99944629 407 Extrapolation 0 21.624533 16.0798986
## 120 BE12 0.99952699 418 Extrapolation 0 21.630209 16.0694543
## 121 BE13 0.05300481 1 Rarefaction 0 1.000000 0.9729464
## 122 BE13 0.58115955 19 Rarefaction 0 12.630229 11.3480736
## 123 BE13 0.75773941 37 Rarefaction 0 18.418020 16.5072410
## 124 BE13 0.83515803 56 Rarefaction 0 22.229057 19.7240945
## 125 BE13 0.87190830 74 Rarefaction 0 24.851476 21.8086793
## 126 BE13 0.89330283 92 Rarefaction 0 26.959730 23.4261415
## 127 BE13 0.90762563 111 Rarefaction 0 28.848596 24.8512142
## 128 BE13 0.91701137 129 Rarefaction 0 30.427140 26.0392510
## 129 BE13 0.92445702 148 Rarefaction 0 31.933920 27.1789713
## 130 BE13 0.93012965 166 Rarefaction 0 33.243929 28.1731309
## 131 BE13 0.93495832 184 Rarefaction 0 34.459532 29.0912385
## 132 BE13 0.93943469 203 Rarefaction 0 35.654193 29.9781152
## 133 BE13 0.94324420 221 Rarefaction 0 36.711439 30.7377663
## 134 BE13 0.94690765 240 Rarefaction 0 37.756304 31.4512102
## 135 BE13 0.95009556 258 Rarefaction 0 38.684491 32.0401841
## 136 BE13 0.95304544 276 Rarefaction 0 39.557362 32.5393674
## 137 BE13 0.95593050 295 Rarefaction 0 40.423183 32.9566152
## 138 BE13 0.95846878 313 Rarefaction 0 41.194587 33.2758566
## 139 BE13 0.96096096 332 Rarefaction 0 41.946537 33.5387652
## 140 BE13 0.96108718 333 Observed 0 42.000000 33.5628140
## 141 BE13 0.96121300 334 Extrapolation 0 42.038913 33.5727813
## 142 BE13 0.96329068 351 Extrapolation 0 42.681509 33.7472687
## 143 BE13 0.96525706 368 Extrapolation 0 43.289684 33.8747271
## 144 BE13 0.96722443 386 Extrapolation 0 43.898162 33.9617703
## 145 BE13 0.96898010 403 Extrapolation 0 44.441165 34.0099640
## 146 BE13 0.97073664 421 Extrapolation 0 44.984440 34.0341715
## 147 BE13 0.97230417 438 Extrapolation 0 45.469255 34.0377123
## 148 BE13 0.97387249 456 Extrapolation 0 45.954312 34.0262243
## 149 BE13 0.97527204 473 Extrapolation 0 46.387175 34.0049654
## 150 BE13 0.97667230 491 Extrapolation 0 46.820254 33.9742353
## 151 BE13 0.97792188 508 Extrapolation 0 47.206731 33.9383361
## 152 BE13 0.97917208 526 Extrapolation 0 47.593401 33.8949635
## 153 BE13 0.98028776 543 Extrapolation 0 47.938464 33.8497482
## 154 BE13 0.98140399 561 Extrapolation 0 48.283699 33.7983425
## 155 BE13 0.98240011 578 Extrapolation 0 48.591784 33.7475607
## 156 BE13 0.98339673 596 Extrapolation 0 48.900024 33.6926909
## 157 BE13 0.98428611 613 Extrapolation 0 49.175096 33.6405099
## 158 BE13 0.98517593 631 Extrapolation 0 49.450305 33.5854098
## 159 BE13 0.98597000 648 Extrapolation 0 49.695900 33.5340237
## 160 BE13 0.98676447 666 Extrapolation 0 49.941617 33.4806539
## 161 BE14 0.05725589 1 Rarefaction 0 1.000000 0.9321714
## 162 BE14 0.57652840 20 Rarefaction 0 13.090894 11.3714530
## 163 BE14 0.74386538 40 Rarefaction 0 19.715455 17.1747969
## 164 BE14 0.81844953 60 Rarefaction 0 24.044830 20.8876797
## 165 BE14 0.85726202 79 Rarefaction 0 27.113811 23.4319998
## 166 BE14 0.88286082 99 Rarefaction 0 29.707402 25.4767499
## 167 BE14 0.90032026 119 Rarefaction 0 31.874375 27.0951320
## 168 BE14 0.91248101 138 Rarefaction 0 33.653498 28.3574590
## 169 BE14 0.92225218 158 Rarefaction 0 35.306795 29.4676444
## 170 BE14 0.92985846 178 Rarefaction 0 36.786474 30.3925257
## 171 BE14 0.93563297 197 Rarefaction 0 38.065288 31.1076656
## 172 BE14 0.94058411 217 Rarefaction 0 39.303941 31.6678465
## 173 BE14 0.94467832 237 Rarefaction 0 40.452149 32.1049082
## 174 BE14 0.94798360 256 Rarefaction 0 41.472750 32.5049303
## 175 BE14 0.95101639 276 Rarefaction 0 42.483623 32.9176801
## 176 BE14 0.95372344 296 Rarefaction 0 43.437130 33.3329572
## 177 BE14 0.95608650 315 Rarefaction 0 44.294855 33.7225158
## 178 BE14 0.95842760 335 Rarefaction 0 45.150687 34.1185387
## 179 BE14 0.96067416 354 Rarefaction 0 45.937157 34.4693901
## 180 BE14 0.96078462 356 Observed 0 46.000000 34.5125505
## 181 BE14 0.96089478 357 Extrapolation 0 46.039215 34.5283989
## 182 BE14 0.96282550 375 Extrapolation 0 46.726552 34.8484544
## 183 BE14 0.96476016 394 Extrapolation 0 47.415292 35.1507951
## 184 BE14 0.96659414 413 Extrapolation 0 48.068189 35.3557518
## 185 BE14 0.96824347 431 Extrapolation 0 48.655350 35.4722830
## 186 BE14 0.96989617 450 Extrapolation 0 49.243710 35.5329454
## 187 BE14 0.97146286 469 Extrapolation 0 49.801451 35.5362935
## 188 BE14 0.97287180 487 Extrapolation 0 50.303037 35.4974747
## 189 BE14 0.97428363 506 Extrapolation 0 50.805647 35.4178551
## 190 BE14 0.97562198 525 Extrapolation 0 51.282100 35.3082567
## 191 BE14 0.97682558 543 Extrapolation 0 51.710582 35.1842091
## 192 BE14 0.97803164 562 Extrapolation 0 52.139940 35.0380084
## 193 BE14 0.97917494 581 Extrapolation 0 52.546952 34.8811348
## 194 BE14 0.98020312 599 Extrapolation 0 52.912986 34.7261557
## 195 BE14 0.98123341 618 Extrapolation 0 53.279767 34.5591770
## 196 BE14 0.98221007 637 Extrapolation 0 53.627460 34.3904220
## 197 BE14 0.98308841 655 Extrapolation 0 53.940146 34.2307129
## 198 BE14 0.98396853 674 Extrapolation 0 54.253471 34.0636593
## 199 BE14 0.98480285 693 Extrapolation 0 54.550490 33.8992387
## 200 BE14 0.98559375 712 Extrapolation 0 54.832051 33.7382664
## 201 BE15 0.03682863 1 Rarefaction 0 1.000007 0.9448051
## 202 BE15 0.27403269 9 Rarefaction 0 7.814114 6.2691190
## 203 BE15 0.45201084 18 Rarefaction 0 13.581024 11.0330953
## 204 BE15 0.55989945 26 Rarefaction 0 17.562950 14.3651658
## 205 BE15 0.64541235 35 Rarefaction 0 21.159341 17.3854263
## 206 BE15 0.70633001 44 Rarefaction 0 24.092473 19.8466699
## 207 BE15 0.74681802 52 Rarefaction 0 26.293255 21.6873772
## 208 BE15 0.78188506 61 Rarefaction 0 28.424767 23.4617177
## 209 BE15 0.80642382 69 Rarefaction 0 30.080358 24.8316222
## 210 BE15 0.82864400 78 Rarefaction 0 31.730039 26.1859151
## 211 BE15 0.84663366 87 Rarefaction 0 33.197592 27.3741246
## 212 BE15 0.85993315 95 Rarefaction 0 34.376520 28.3004801
## 213 BE15 0.87255116 104 Rarefaction 0 35.585025 29.1663950
## 214 BE15 0.88211068 112 Rarefaction 0 36.570247 29.5542267
## 215 BE15 0.89137544 121 Rarefaction 0 37.593140 29.5681872
## 216 BE15 0.89936200 130 Rarefaction 0 38.537966 29.4045112
## 217 BE15 0.90558182 138 Rarefaction 0 39.320806 29.2100540
## 218 BE15 0.91175739 147 Rarefaction 0 40.145276 29.0113240
## 219 BE15 0.91719745 156 Rarefaction 0 40.889723 28.8274500
## 220 BE15 0.91776515 157 Observed 0 41.000000 28.8359301
## 221 BE15 0.91832895 158 Extrapolation 0 41.082235 28.8202196
## 222 BE15 0.92270243 166 Extrapolation 0 41.720138 28.6936029
## 223 BE15 0.92684171 174 Extrapolation 0 42.323882 28.5640082
## 224 BE15 0.93075933 182 Extrapolation 0 42.895295 28.4263370
## 225 BE15 0.93446717 190 Extrapolation 0 43.436109 28.2828172
## 226 BE15 0.93840168 199 Extrapolation 0 44.009986 28.1180038
## 227 BE15 0.94170027 207 Extrapolation 0 44.491108 27.9708919
## 228 BE15 0.94482222 215 Extrapolation 0 44.946466 27.8257039
## 229 BE15 0.94777698 223 Extrapolation 0 45.377440 27.6856272
## 230 BE15 0.95057352 231 Extrapolation 0 45.785336 27.5578762
## 231 BE15 0.95354103 240 Extrapolation 0 46.218168 27.4180949
## 232 BE15 0.95602890 248 Extrapolation 0 46.581042 27.2956838
## 233 BE15 0.95838355 256 Extrapolation 0 46.924485 27.1769765
## 234 BE15 0.96061211 264 Extrapolation 0 47.249536 27.0613537
## 235 BE15 0.96272133 272 Extrapolation 0 47.557180 26.9495494
## 236 BE15 0.96495950 281 Extrapolation 0 47.883633 26.8279426
## 237 BE15 0.96683592 289 Extrapolation 0 48.157322 26.7237013
## 238 BE15 0.96861185 297 Extrapolation 0 48.416355 26.6203685
## 239 BE15 0.97029268 305 Extrapolation 0 48.661516 26.5266420
## 240 BE15 0.97207628 314 Extrapolation 0 48.921666 26.4226583
## 241 BE16 0.13215078 1 Rarefaction 0 1.000000 0.9158972
## 242 BE16 0.72643580 20 Rarefaction 0 9.838873 8.3928881
## 243 BE16 0.83848640 39 Rarefaction 0 13.870647 12.1930500
## 244 BE16 0.89160832 58 Rarefaction 0 16.410253 14.6276588
## 245 BE16 0.92214177 77 Rarefaction 0 18.170956 16.2787186
## 246 BE16 0.94216733 97 Rarefaction 0 19.523011 17.5021929
## 247 BE16 0.95478907 116 Rarefaction 0 20.500838 18.3500551
## 248 BE16 0.96365661 135 Rarefaction 0 21.275370 18.9865121
## 249 BE16 0.97009659 154 Rarefaction 0 21.904830 19.4668592
## 250 BE16 0.97511101 174 Rarefaction 0 22.452784 19.8441677
## 251 BE16 0.97870991 193 Rarefaction 0 22.891794 20.1105232
## 252 BE16 0.98150301 212 Rarefaction 0 23.270094 20.3140152
## 253 BE16 0.98371261 231 Rarefaction 0 23.600869 20.4794515
## 254 BE16 0.98549713 250 Rarefaction 0 23.893699 20.6252318
## 255 BE16 0.98704331 270 Rarefaction 0 24.168590 20.7641233
## 256 BE16 0.98828703 289 Rarefaction 0 24.403287 20.8779072
## 257 BE16 0.98938008 308 Rarefaction 0 24.615804 20.9563106
## 258 BE16 0.99037797 327 Rarefaction 0 24.808491 21.0367644
## 259 BE16 0.99137931 346 Rarefaction 0 24.985996 21.1406236
## 260 BE16 0.99142871 348 Observed 0 25.000000 21.1509221
## 261 BE16 0.99147783 349 Extrapolation 0 25.008571 21.1544543
## 262 BE16 0.99231537 367 Extrapolation 0 25.154722 21.2092891
## 263 BE16 0.99307060 385 Extrapolation 0 25.286509 21.2483905
## 264 BE16 0.99375160 403 Extrapolation 0 25.405344 21.2765729
## 265 BE16 0.99439797 422 Extrapolation 0 25.518135 21.2992689
## 266 BE16 0.99494852 440 Extrapolation 0 25.614207 21.3141057
## 267 BE16 0.99544497 458 Extrapolation 0 25.700837 21.3230589
## 268 BE16 0.99589263 476 Extrapolation 0 25.778953 21.3278013
## 269 BE16 0.99631751 495 Extrapolation 0 25.853096 21.3297030
## 270 BE16 0.99667942 513 Extrapolation 0 25.916248 21.3297841
## 271 BE16 0.99700576 531 Extrapolation 0 25.973195 21.3298180
## 272 BE16 0.99730003 549 Extrapolation 0 26.024544 21.3295599
## 273 BE16 0.99757932 568 Extrapolation 0 26.073282 21.3238957
## 274 BE16 0.99781722 586 Extrapolation 0 26.114795 21.3181753
## 275 BE16 0.99803174 604 Extrapolation 0 26.152228 21.3123284
## 276 BE16 0.99822518 622 Extrapolation 0 26.185983 21.3065081
## 277 BE16 0.99840877 641 Extrapolation 0 26.218021 21.3005128
## 278 BE16 0.99856516 659 Extrapolation 0 26.245309 21.2950497
## 279 BE16 0.99870617 677 Extrapolation 0 26.269916 21.2898476
## 280 BE16 0.99884001 696 Extrapolation 0 26.293271 21.2846722
## 281 BE17 0.05198763 1 Rarefaction 0 1.000003 0.9500626
## 282 BE17 0.43753991 12 Rarefaction 0 9.239211 7.9166444
## 283 BE17 0.63897372 24 Rarefaction 0 14.739254 12.8350558
## 284 BE17 0.73718204 35 Rarefaction 0 18.171697 16.0029483
## 285 BE17 0.80193865 47 Rarefaction 0 20.939539 18.6308160
## 286 BE17 0.84173095 58 Rarefaction 0 22.907155 20.5437010
## 287 BE17 0.87343389 70 Rarefaction 0 24.622760 22.2332647
## 288 BE17 0.89585196 81 Rarefaction 0 25.898287 23.4844991
## 289 BE17 0.91544934 93 Rarefaction 0 27.036051 24.5726384
## 290 BE17 0.93016542 104 Rarefaction 0 27.890091 25.3501154
## 291 BE17 0.94351930 116 Rarefaction 0 28.652185 25.9896286
## 292 BE17 0.95379193 127 Rarefaction 0 29.220579 26.4041340
## 293 BE17 0.96326121 139 Rarefaction 0 29.721365 26.6823048
## 294 BE17 0.97062394 150 Rarefaction 0 30.087637 26.7356026
## 295 BE17 0.97745851 162 Rarefaction 0 30.401421 26.3865979
## 296 BE17 0.98279493 173 Rarefaction 0 30.621954 25.9174505
## 297 BE17 0.98775628 185 Rarefaction 0 30.800303 25.3405138
## 298 BE17 0.99162707 196 Rarefaction 0 30.915086 24.7646804
## 299 BE17 0.99521531 208 Rarefaction 0 30.992962 24.1355575
## 300 BE17 0.99547629 209 Observed 0 31.000000 24.0892951
## 301 BE17 0.99572304 210 Extrapolation 0 31.004524 24.0431331
## 302 BE17 0.99755915 220 Extrapolation 0 31.038186 23.6933395
## 303 BE17 0.99868299 231 Extrapolation 0 31.058789 23.4741552
## 304 BE17 0.99928938 242 Extrapolation 0 31.069907 23.3543866
## 305 BE17 0.99961657 253 Extrapolation 0 31.075905 23.2893313
## 306 BE17 0.99979311 264 Extrapolation 0 31.079142 23.2541021
## 307 BE17 0.99988837 275 Extrapolation 0 31.080888 23.2350562
## 308 BE17 0.99993977 286 Extrapolation 0 31.081830 23.2247684
## 309 BE17 0.99996750 297 Extrapolation 0 31.082339 23.2192123
## 310 BE17 0.99998246 308 Extrapolation 0 31.082613 23.2162138
## 311 BE17 0.99999054 319 Extrapolation 0 31.082761 23.2145956
## 312 BE17 0.99999489 330 Extrapolation 0 31.082841 23.2137225
## 313 BE17 0.99999725 341 Extrapolation 0 31.082884 23.2132513
## 314 BE17 0.99999851 352 Extrapolation 0 31.082907 23.2129971
## 315 BE17 0.99999920 363 Extrapolation 0 31.082920 23.2128599
## 316 BE17 0.99999957 374 Extrapolation 0 31.082927 23.2127859
## 317 BE17 0.99999977 385 Extrapolation 0 31.082930 23.2127460
## 318 BE17 0.99999987 396 Extrapolation 0 31.082932 23.2127244
## 319 BE17 0.99999993 407 Extrapolation 0 31.082933 23.2127128
## 320 BE17 0.99999996 418 Extrapolation 0 31.082934 23.2127065
## 321 BE18 0.09209837 1 Rarefaction 0 1.000015 0.9106859
## 322 BE18 0.62912716 21 Rarefaction 0 12.112883 10.4166961
## 323 BE18 0.75093743 41 Rarefaction 0 18.210636 15.6619431
## 324 BE18 0.81475664 62 Rarefaction 0 22.736554 19.4095550
## 325 BE18 0.85078840 82 Rarefaction 0 26.072385 22.0711776
## 326 BE18 0.87581477 103 Rarefaction 0 28.939057 24.2491335
## 327 BE18 0.89282127 123 Rarefaction 0 31.252804 25.8956429
## 328 BE18 0.90629084 144 Rarefaction 0 33.362582 27.2849516
## 329 BE18 0.91631973 164 Rarefaction 0 35.137729 28.3514882
## 330 BE18 0.92476065 185 Rarefaction 0 36.807404 29.2314898
## 331 BE18 0.93130597 205 Rarefaction 0 38.247900 29.8253558
## 332 BE18 0.93671757 225 Rarefaction 0 39.568693 30.1040215
## 333 BE18 0.94142393 246 Rarefaction 0 40.848993 30.2749866
## 334 BE18 0.94514889 266 Rarefaction 0 41.984017 30.4403698
## 335 BE18 0.94840708 287 Rarefaction 0 43.102250 30.6495546
## 336 BE18 0.95099661 307 Rarefaction 0 44.108755 30.8891563
## 337 BE18 0.95327517 328 Rarefaction 0 45.114333 31.1945589
## 338 BE18 0.95510772 348 Rarefaction 0 46.030936 31.5202706
## 339 BE18 0.95675676 368 Rarefaction 0 46.916623 31.7695008
## 340 BE18 0.95682988 370 Observed 0 47.000000 31.8228345
## 341 BE18 0.95690287 371 Extrapolation 0 47.043170 31.8349231
## 342 BE18 0.95826659 390 Extrapolation 0 47.849673 32.0387295
## 343 BE18 0.95958716 409 Extrapolation 0 48.630655 32.1884760
## 344 BE18 0.96093211 429 Extrapolation 0 49.426060 32.2953473
## 345 BE18 0.96216833 448 Extrapolation 0 50.157161 32.3543635
## 346 BE18 0.96342738 468 Extrapolation 0 50.901762 32.3870469
## 347 BE18 0.96458464 487 Extrapolation 0 51.586168 32.3964482
## 348 BE18 0.96570529 506 Extrapolation 0 52.248917 32.3924804
## 349 BE18 0.96684662 526 Extrapolation 0 52.923905 32.3600727
## 350 BE18 0.96789569 545 Extrapolation 0 53.544324 32.3072203
## 351 BE18 0.96896413 565 Extrapolation 0 54.176200 32.2322344
## 352 BE18 0.96994620 584 Extrapolation 0 54.756993 32.1462426
## 353 BE18 0.97094640 604 Extrapolation 0 55.348510 32.0437704
## 354 BE18 0.97186574 623 Extrapolation 0 55.892208 31.9379245
## 355 BE18 0.97275599 642 Extrapolation 0 56.418702 31.8262486
## 356 BE18 0.97366268 662 Extrapolation 0 56.954917 31.7040813
## 357 BE18 0.97449607 681 Extrapolation 0 57.447784 31.5842840
## 358 BE18 0.97534484 701 Extrapolation 0 57.949751 31.4561122
## 359 BE18 0.97612500 720 Extrapolation 0 58.411138 31.3333694
## 360 BE18 0.97691957 740 Extrapolation 0 58.881045 31.2015838
## 361 BE19 0.09812942 1 Rarefaction 0 1.000000 0.8872129
## 362 BE19 0.62136876 20 Rarefaction 0 11.653126 10.1152437
## 363 BE19 0.74983982 39 Rarefaction 0 17.536347 15.5975123
## 364 BE19 0.81750925 58 Rarefaction 0 21.624555 19.4238043
## 365 BE19 0.86006567 77 Rarefaction 0 24.681594 22.3249926
## 366 BE19 0.88943495 96 Rarefaction 0 27.060481 24.6246579
## 367 BE19 0.91096565 115 Rarefaction 0 28.957736 26.4835691
## 368 BE19 0.92743996 134 Rarefaction 0 30.494613 27.9938010
## 369 BE19 0.94042403 153 Rarefaction 0 31.751758 29.2113463
## 370 BE19 0.95085691 172 Rarefaction 0 32.786321 30.1711461
## 371 BE19 0.95933684 191 Rarefaction 0 33.640997 30.9010712
## 372 BE19 0.96626662 210 Rarefaction 0 34.349033 31.4356140
## 373 BE19 0.97193074 229 Rarefaction 0 34.937175 31.8275928
## 374 BE19 0.97653842 248 Rarefaction 0 35.427492 32.1137545
## 375 BE19 0.98024928 267 Rarefaction 0 35.838556 32.2534893
## 376 BE19 0.98318961 286 Rarefaction 0 36.186226 32.1160238
## 377 BE19 0.98546317 305 Rarefaction 0 36.484182 31.9078483
## 378 BE19 0.98715871 324 Rarefaction 0 36.744274 31.7385376
## 379 BE19 0.98840580 343 Rarefaction 0 36.979470 31.6371661
## 380 BE19 0.98845613 345 Observed 0 37.000000 31.6440043
## 381 BE19 0.98850625 346 Extrapolation 0 37.011544 31.6431769
## 382 BE19 0.98937207 364 Extrapolation 0 37.210970 31.6014793
## 383 BE19 0.99017267 382 Extrapolation 0 37.395374 31.5553232
## 384 BE19 0.99091295 400 Extrapolation 0 37.565887 31.5071562
## 385 BE19 0.99159747 418 Extrapolation 0 37.723556 31.4584308
## 386 BE19 0.99223043 436 Extrapolation 0 37.869347 31.4100158
## 387 BE19 0.99281571 454 Extrapolation 0 38.004156 31.3625623
## 388 BE19 0.99335690 472 Extrapolation 0 38.128809 31.3165403
## 389 BE19 0.99385732 490 Extrapolation 0 38.244073 31.2722606
## 390 BE19 0.99432004 508 Extrapolation 0 38.350654 31.2296577
## 391 BE19 0.99477071 527 Extrapolation 0 38.454458 31.1875447
## 392 BE19 0.99516463 545 Extrapolation 0 38.545191 31.1496368
## 393 BE19 0.99552888 563 Extrapolation 0 38.629089 31.1138977
## 394 BE19 0.99586569 581 Extrapolation 0 38.706667 31.0802901
## 395 BE19 0.99617712 599 Extrapolation 0 38.778401 31.0487503
## 396 BE19 0.99646510 617 Extrapolation 0 38.844731 31.0192040
## 397 BE19 0.99673138 635 Extrapolation 0 38.906065 30.9915664
## 398 BE19 0.99697760 653 Extrapolation 0 38.962778 30.9657392
## 399 BE19 0.99720528 671 Extrapolation 0 39.015219 30.9414861
## 400 BE19 0.99742702 690 Extrapolation 0 39.066295 30.9180047
## 401 BE2 0.07262649 1 Rarefaction 0 1.000008 0.9590318
## 402 BE2 0.74343162 25 Rarefaction 0 13.023071 11.8514614
## 403 BE2 0.86969842 49 Rarefaction 0 17.407398 15.6612289
## 404 BE2 0.91170859 73 Rarefaction 0 19.980528 17.7809764
## 405 BE2 0.93241015 97 Rarefaction 0 21.838221 19.3137352
## 406 BE2 0.94505087 121 Rarefaction 0 23.304229 20.5427449
## 407 BE2 0.95360086 145 Rarefaction 0 24.518635 21.5716395
## 408 BE2 0.95975632 169 Rarefaction 0 25.557722 22.4567449
## 409 BE2 0.96440804 193 Rarefaction 0 26.467684 23.2327322
## 410 BE2 0.96807227 217 Rarefaction 0 27.278151 23.9194093
## 411 BE2 0.97106761 241 Rarefaction 0 28.008871 24.5235615
## 412 BE2 0.97360130 265 Rarefaction 0 28.673350 25.0419287
## 413 BE2 0.97581399 289 Rarefaction 0 29.280941 25.4575162
## 414 BE2 0.97780377 313 Rarefaction 0 29.838156 25.6337784
## 415 BE2 0.97963947 337 Rarefaction 0 30.349502 25.5605251
## 416 BE2 0.98136873 361 Rarefaction 0 30.818091 25.3612593
## 417 BE2 0.98302314 385 Rarefaction 0 31.246090 25.0790790
## 418 BE2 0.98462199 409 Rarefaction 0 31.635050 24.6983324
## 419 BE2 0.98617512 432 Rarefaction 0 31.975039 24.1931742
## 420 BE2 0.98623868 434 Observed 0 32.000000 24.1810490
## 421 BE2 0.98630195 435 Extrapolation 0 32.013761 24.1581885
## 422 BE2 0.98762262 457 Extrapolation 0 32.301007 23.6549620
## 423 BE2 0.98886738 480 Extrapolation 0 32.571742 23.1430819
## 424 BE2 0.98998695 503 Extrapolation 0 32.815250 22.6584611
## 425 BE2 0.99099394 526 Extrapolation 0 33.034269 22.2147490
## 426 BE2 0.99186224 548 Extrapolation 0 33.223124 21.8257082
## 427 BE2 0.99268063 571 Extrapolation 0 33.401124 21.4492626
## 428 BE2 0.99341672 594 Extrapolation 0 33.561224 21.1050571
## 429 BE2 0.99407878 617 Extrapolation 0 33.705222 20.7901086
## 430 BE2 0.99467426 640 Extrapolation 0 33.834739 20.5027977
## 431 BE2 0.99518773 662 Extrapolation 0 33.946419 20.2529492
## 432 BE2 0.99567169 685 Extrapolation 0 34.051680 20.0175045
## 433 BE2 0.99610697 708 Extrapolation 0 34.146354 19.8040588
## 434 BE2 0.99649848 731 Extrapolation 0 34.231508 19.6104523
## 435 BE2 0.99685062 754 Extrapolation 0 34.308098 19.4350697
## 436 BE2 0.99715426 776 Extrapolation 0 34.374140 19.2829395
## 437 BE2 0.99744045 799 Extrapolation 0 34.436386 19.1388253
## 438 BE2 0.99769786 822 Extrapolation 0 34.492372 19.0085394
## 439 BE2 0.99792938 845 Extrapolation 0 34.542727 18.8911035
## 440 BE2 0.99813761 868 Extrapolation 0 34.588019 18.7850574
## 441 BE20 0.24777798 1 Rarefaction 0 1.000000 0.7212456
## 442 BE20 0.63765407 9 Rarefaction 0 4.998873 3.2225494
## 443 BE20 0.72908010 17 Rarefaction 0 7.549565 5.2740067
## 444 BE20 0.78904434 25 Rarefaction 0 9.491691 6.7169393
## 445 BE20 0.83031142 33 Rarefaction 0 11.025321 7.6608238
## 446 BE20 0.85976895 41 Rarefaction 0 12.273574 8.1173924
## 447 BE20 0.88382201 50 Rarefaction 0 13.433703 8.0394970
## 448 BE20 0.89977722 58 Rarefaction 0 14.304538 7.1251492
## 449 BE20 0.91214270 66 Rarefaction 0 15.061033 4.6341617
## 450 BE20 0.92183727 74 Rarefaction 0 15.728438 1.8280720
## 451 BE20 0.92947966 82 Rarefaction 0 16.325806 0.0000000
## 452 BE20 0.93550847 90 Rarefaction 0 16.867927 0.0000000
## 453 BE20 0.94076516 99 Rarefaction 0 17.426260 0.0000000
## 454 BE20 0.94435685 107 Rarefaction 0 17.886973 0.0000000
## 455 BE20 0.94713630 115 Rarefaction 0 18.321914 0.0000000
## 456 BE20 0.94926245 123 Rarefaction 0 18.737001 0.0000000
## 457 BE20 0.95086636 131 Rarefaction 0 19.136982 0.0000000
## 458 BE20 0.95205760 139 Rarefaction 0 19.525644 0.0000000
## 459 BE20 0.95302013 148 Rarefaction 0 19.931441 0.0000000
## 460 BE20 0.95311065 149 Observed 0 20.000000 0.0000000
## 461 BE20 0.95320100 150 Extrapolation 0 20.046889 0.0000000
## 462 BE20 0.95382856 157 Extrapolation 0 20.372595 0.0000000
## 463 BE20 0.95453548 165 Extrapolation 0 20.739485 0.0000000
## 464 BE20 0.95523157 173 Extrapolation 0 21.100758 0.0000000
## 465 BE20 0.95591701 181 Extrapolation 0 21.456499 0.0000000
## 466 BE20 0.95650815 188 Extrapolation 0 21.763302 0.0000000
## 467 BE20 0.95717404 196 Extrapolation 0 22.108900 0.0000000
## 468 BE20 0.95782974 204 Extrapolation 0 22.449206 0.0000000
## 469 BE20 0.95847540 212 Extrapolation 0 22.784301 0.0000000
## 470 BE20 0.95911117 220 Extrapolation 0 23.114267 0.0000000
## 471 BE20 0.95965948 227 Extrapolation 0 23.398839 0.0000000
## 472 BE20 0.96027712 235 Extrapolation 0 23.719395 0.0000000
## 473 BE20 0.96088530 243 Extrapolation 0 24.035044 0.0000000
## 474 BE20 0.96148418 251 Extrapolation 0 24.345859 0.0000000
## 475 BE20 0.96207388 259 Extrapolation 0 24.651916 0.0000000
## 476 BE20 0.96258246 266 Extrapolation 0 24.915869 0.0000000
## 477 BE20 0.96315535 274 Extrapolation 0 25.213198 0.0000000
## 478 BE20 0.96371947 282 Extrapolation 0 25.505975 0.0000000
## 479 BE20 0.96427495 290 Extrapolation 0 25.794270 0.0000000
## 480 BE20 0.96482193 298 Extrapolation 0 26.078150 0.0000000
## 481 BE21 0.06068730 1 Rarefaction 0 1.000000 0.9451564
## 482 BE21 0.61740609 21 Rarefaction 0 13.115675 11.9741069
## 483 BE21 0.78513848 42 Rarefaction 0 19.201213 17.6331296
## 484 BE21 0.86027063 63 Rarefaction 0 22.873653 20.9727158
## 485 BE21 0.89945220 83 Rarefaction 0 25.261994 23.0806071
## 486 BE21 0.92460260 104 Rarefaction 0 27.101914 24.6213035
## 487 BE21 0.94107230 125 Rarefaction 0 28.509441 25.7060815
## 488 BE21 0.95207513 145 Rarefaction 0 29.577592 26.4465155
## 489 BE21 0.96053051 166 Rarefaction 0 30.494988 27.0037712
## 490 BE21 0.96685128 187 Rarefaction 0 31.257565 27.3554254
## 491 BE21 0.97147344 207 Rarefaction 0 31.874714 27.3572929
## 492 BE21 0.97525788 228 Rarefaction 0 32.434286 27.0838772
## 493 BE21 0.97822502 249 Rarefaction 0 32.922968 26.5120980
## 494 BE21 0.98047226 269 Rarefaction 0 33.336297 25.8922854
## 495 BE21 0.98235909 290 Rarefaction 0 33.726760 25.3661245
## 496 BE21 0.98385983 311 Rarefaction 0 34.081607 24.9466083
## 497 BE21 0.98499541 331 Rarefaction 0 34.393189 24.6522677
## 498 BE21 0.98592822 352 Rarefaction 0 34.698527 24.4519083
## 499 BE21 0.98663102 372 Rarefaction 0 34.979736 24.3822249
## 500 BE21 0.98665963 374 Observed 0 35.000000 24.3884064
## 501 BE21 0.98668818 375 Extrapolation 0 35.013340 24.3883664
## 502 BE21 0.98721918 394 Extrapolation 0 35.261452 24.3564668
## 503 BE21 0.98775527 414 Extrapolation 0 35.511937 24.3177939
## 504 BE21 0.98824370 433 Extrapolation 0 35.740160 24.2773782
## 505 BE21 0.98873682 453 Extrapolation 0 35.970566 24.2319248
## 506 BE21 0.98920924 473 Extrapolation 0 36.191308 24.1842221
## 507 BE21 0.98963968 492 Extrapolation 0 36.392431 24.1372148
## 508 BE21 0.99007424 512 Extrapolation 0 36.595478 24.0862156
## 509 BE21 0.99049057 532 Extrapolation 0 36.790008 24.0342018
## 510 BE21 0.99086990 551 Extrapolation 0 36.967249 23.9842695
## 511 BE21 0.99125286 571 Extrapolation 0 37.146186 23.9315315
## 512 BE21 0.99160178 590 Extrapolation 0 37.309219 23.8815470
## 513 BE21 0.99195403 610 Extrapolation 0 37.473812 23.8290858
## 514 BE21 0.99229152 630 Extrapolation 0 37.631501 23.7776975
## 515 BE21 0.99259901 649 Extrapolation 0 37.775175 23.7294102
## 516 BE21 0.99290944 669 Extrapolation 0 37.920223 23.6795181
## 517 BE21 0.99320685 689 Extrapolation 0 38.059188 23.6307196
## 518 BE21 0.99347782 708 Extrapolation 0 38.185802 23.5854812
## 519 BE21 0.99375139 728 Extrapolation 0 38.313627 23.5391478
## 520 BE21 0.99401349 748 Extrapolation 0 38.436091 23.4942480
## 521 BE22 0.11389760 1 Rarefaction 0 1.000000 0.8938604
## 522 BE22 0.63383206 13 Rarefaction 0 7.899470 6.6479058
## 523 BE22 0.78484421 26 Rarefaction 0 11.603773 9.8403624
## 524 BE22 0.85155042 39 Rarefaction 0 13.950398 11.8785908
## 525 BE22 0.88736372 52 Rarefaction 0 15.644976 13.3785171
## 526 BE22 0.90852845 64 Rarefaction 0 16.872635 14.4753486
## 527 BE22 0.92504806 77 Rarefaction 0 17.957382 15.4539663
## 528 BE22 0.93770177 90 Rarefaction 0 18.852568 16.2756084
## 529 BE22 0.94781145 103 Rarefaction 0 19.599491 16.9678803
## 530 BE22 0.95605909 116 Rarefaction 0 20.226704 17.5206096
## 531 BE22 0.96237501 128 Rarefaction 0 20.718152 17.7316402
## 532 BE22 0.96807363 141 Rarefaction 0 21.171920 17.3132127
## 533 BE22 0.97278365 154 Rarefaction 0 21.557731 16.7313634
## 534 BE22 0.97666412 167 Rarefaction 0 21.887441 16.1265412
## 535 BE22 0.97961802 179 Rarefaction 0 22.150670 15.6154906
## 536 BE22 0.98223039 192 Rarefaction 0 22.399347 15.1547401
## 537 BE22 0.98430687 205 Rarefaction 0 22.617351 14.8041339
## 538 BE22 0.98590600 218 Rarefaction 0 22.811278 14.5482146
## 539 BE22 0.98706897 231 Rarefaction 0 22.983640 14.3908520
## 540 BE22 0.98714318 232 Observed 0 23.000000 14.3864801
## 541 BE22 0.98721696 233 Extrapolation 0 23.012857 14.3790189
## 542 BE22 0.98807002 245 Extrapolation 0 23.161503 14.2853500
## 543 BE22 0.98886616 257 Extrapolation 0 23.300229 14.1941557
## 544 BE22 0.98960916 269 Extrapolation 0 23.429698 14.1061519
## 545 BE22 0.99030258 281 Extrapolation 0 23.550527 14.0216977
## 546 BE22 0.99094973 293 Extrapolation 0 23.663292 13.9410343
## 547 BE22 0.99155369 305 Extrapolation 0 23.768532 13.8636826
## 548 BE22 0.99216258 318 Extrapolation 0 23.874632 13.7855011
## 549 BE22 0.99268560 330 Extrapolation 0 23.965768 13.7166254
## 550 BE22 0.99317372 342 Extrapolation 0 24.050823 13.6514094
## 551 BE22 0.99362927 354 Extrapolation 0 24.130201 13.5897586
## 552 BE22 0.99405441 366 Extrapolation 0 24.204283 13.5315618
## 553 BE22 0.99445118 378 Extrapolation 0 24.273420 13.4766907
## 554 BE22 0.99485120 391 Extrapolation 0 24.343123 13.4208414
## 555 BE22 0.99519480 403 Extrapolation 0 24.402995 13.3724550
## 556 BE22 0.99551547 415 Extrapolation 0 24.458872 13.3269539
## 557 BE22 0.99581474 427 Extrapolation 0 24.511020 13.2841179
## 558 BE22 0.99609404 439 Extrapolation 0 24.559688 13.2440869
## 559 BE22 0.99635470 451 Extrapolation 0 24.605108 13.2064314
## 560 BE22 0.99661749 464 Extrapolation 0 24.650899 13.1682726
## 561 BE23 0.14398109 1 Rarefaction 0 1.000000 0.8692243
## 562 BE23 0.67438601 13 Rarefaction 0 7.303659 6.2757181
## 563 BE23 0.80211093 25 Rarefaction 0 10.396892 9.0114138
## 564 BE23 0.86004708 37 Rarefaction 0 12.413750 10.6815006
## 565 BE23 0.89180865 49 Rarefaction 0 13.902559 11.8828277
## 566 BE23 0.91378586 62 Rarefaction 0 15.168012 12.9224765
## 567 BE23 0.92844610 74 Rarefaction 0 16.118073 13.7291250
## 568 BE23 0.93994475 86 Rarefaction 0 16.910939 14.4069448
## 569 BE23 0.94924853 98 Rarefaction 0 17.578553 14.9201802
## 570 BE23 0.95743028 111 Rarefaction 0 18.187332 15.2465337
## 571 BE23 0.96355586 123 Rarefaction 0 18.663241 15.3384963
## 572 BE23 0.96853028 135 Rarefaction 0 19.072158 15.0591158
## 573 BE23 0.97251859 147 Rarefaction 0 19.426952 14.6851749
## 574 BE23 0.97565663 159 Rarefaction 0 19.738685 14.3369448
## 575 BE23 0.97822831 172 Rarefaction 0 20.038857 14.0655418
## 576 BE23 0.97993955 184 Rarefaction 0 20.290118 13.8993785
## 577 BE23 0.98109522 196 Rarefaction 0 20.523969 13.8434192
## 578 BE23 0.98175904 208 Rarefaction 0 20.746715 13.9006119
## 579 BE23 0.98198198 220 Rarefaction 0 20.968406 14.0682551
## 580 BE23 0.98203617 222 Observed 0 21.000000 14.0866525
## 581 BE23 0.98209020 223 Extrapolation 0 21.017964 14.0912687
## 582 BE23 0.98267387 234 Extrapolation 0 21.212036 14.1404623
## 583 BE23 0.98328894 246 Extrapolation 0 21.416544 14.1877914
## 584 BE23 0.98383354 257 Extrapolation 0 21.597627 14.2274559
## 585 BE23 0.98440744 269 Extrapolation 0 21.788447 14.2673039
## 586 BE23 0.98496096 281 Extrapolation 0 21.972493 14.3042314
## 587 BE23 0.98545108 292 Extrapolation 0 22.135458 14.3361695
## 588 BE23 0.98596756 304 Extrapolation 0 22.307185 14.3699679
## 589 BE23 0.98646570 316 Extrapolation 0 22.472817 14.4063899
## 590 BE23 0.98690678 327 Extrapolation 0 22.619476 14.4378983
## 591 BE23 0.98737157 339 Extrapolation 0 22.774021 14.4670407
## 592 BE23 0.98778313 350 Extrapolation 0 22.910864 14.4917942
## 593 BE23 0.98821682 362 Extrapolation 0 23.055065 14.5168833
## 594 BE23 0.98863511 374 Extrapolation 0 23.194148 14.5401905
## 595 BE23 0.98900549 385 Extrapolation 0 23.317299 14.5601722
## 596 BE23 0.98939579 397 Extrapolation 0 23.447072 14.5806588
## 597 BE23 0.98977223 409 Extrapolation 0 23.572239 14.5999986
## 598 BE23 0.99010555 420 Extrapolation 0 23.683068 14.6169409
## 599 BE23 0.99045679 432 Extrapolation 0 23.799857 14.6349689
## 600 BE23 0.99079557 444 Extrapolation 0 23.912500 14.6536059
## 601 BE24 0.32822193 1 Rarefaction 0 1.000001 0.9029603
## 602 BE24 0.76899938 18 Rarefaction 0 6.864984 5.7160079
## 603 BE24 0.85329053 35 Rarefaction 0 10.030666 8.5871357
## 604 BE24 0.89676414 52 Rarefaction 0 12.141488 10.5518571
## 605 BE24 0.92253699 69 Rarefaction 0 13.673474 12.0108231
## 606 BE24 0.94020765 87 Rarefaction 0 14.906928 13.1938217
## 607 BE24 0.95179681 104 Rarefaction 0 15.825389 14.0701537
## 608 BE24 0.96036233 121 Rarefaction 0 16.572932 14.7762942
## 609 BE24 0.96694561 138 Rarefaction 0 17.191822 15.3549304
## 610 BE24 0.97243795 156 Rarefaction 0 17.738221 15.8564703
## 611 BE24 0.97662723 173 Rarefaction 0 18.172099 16.2308831
## 612 BE24 0.98009597 190 Rarefaction 0 18.540800 16.4790528
## 613 BE24 0.98300766 207 Rarefaction 0 18.855179 16.5123399
## 614 BE24 0.98547700 224 Rarefaction 0 19.123735 16.4225858
## 615 BE24 0.98770162 242 Rarefaction 0 19.365698 16.2688478
## 616 BE24 0.98949886 259 Rarefaction 0 19.560013 16.0846269
## 617 BE24 0.99104790 276 Rarefaction 0 19.725817 15.9175764
## 618 BE24 0.99238278 293 Rarefaction 0 19.867040 15.7283777
## 619 BE24 0.99358974 310 Rarefaction 0 19.989164 15.5541015
## 620 BE24 0.99365099 312 Observed 0 20.000000 15.5502887
## 621 BE24 0.99371165 313 Extrapolation 0 20.006349 15.5413659
## 622 BE24 0.99460702 329 Extrapolation 0 20.100065 15.3981754
## 623 BE24 0.99537491 345 Extrapolation 0 20.180437 15.2660815
## 624 BE24 0.99607135 362 Extrapolation 0 20.253331 15.1397569
## 625 BE24 0.99663074 378 Extrapolation 0 20.311880 15.0344230
## 626 BE24 0.99711047 394 Extrapolation 0 20.362093 14.9420379
## 627 BE24 0.99754558 411 Extrapolation 0 20.407634 14.8564853
## 628 BE24 0.99789505 427 Extrapolation 0 20.444212 14.7866021
## 629 BE24 0.99819477 443 Extrapolation 0 20.475582 14.7258884
## 630 BE24 0.99846660 460 Extrapolation 0 20.504034 14.6702298
## 631 BE24 0.99868493 476 Extrapolation 0 20.526886 14.6251331
## 632 BE24 0.99888296 493 Extrapolation 0 20.547613 14.5839410
## 633 BE24 0.99904201 509 Extrapolation 0 20.564260 14.5506610
## 634 BE24 0.99917841 525 Extrapolation 0 20.578537 14.5219852
## 635 BE24 0.99930213 542 Extrapolation 0 20.591486 14.4958722
## 636 BE24 0.99940149 558 Extrapolation 0 20.601886 14.4748272
## 637 BE24 0.99948671 574 Extrapolation 0 20.610806 14.4567291
## 638 BE24 0.99956400 591 Extrapolation 0 20.618896 14.4402757
## 639 BE24 0.99962608 607 Extrapolation 0 20.625393 14.4270338
## 640 BE24 0.99968239 624 Extrapolation 0 20.631286 14.4150035
## 641 BE25 0.11156453 1 Rarefaction 0 1.000004 0.8648293
## 642 BE25 0.61809147 14 Rarefaction 0 8.523517 7.3463907
## 643 BE25 0.75669055 27 Rarefaction 0 12.536061 11.0920394
## 644 BE25 0.82406428 40 Rarefaction 0 15.249263 13.4821995
## 645 BE25 0.86210389 53 Rarefaction 0 17.287510 15.1962610
## 646 BE25 0.88616946 66 Rarefaction 0 18.925221 16.5522952
## 647 BE25 0.90276711 79 Rarefaction 0 20.299448 17.6918335
## 648 BE25 0.91496256 92 Rarefaction 0 21.486615 18.6790509
## 649 BE25 0.92436761 105 Rarefaction 0 22.533260 19.5516892
## 650 BE25 0.93191280 118 Rarefaction 0 23.469567 20.3349759
## 651 BE25 0.93817443 131 Rarefaction 0 24.315981 21.0376992
## 652 BE25 0.94352879 144 Rarefaction 0 25.086767 21.6532285
## 653 BE25 0.94823277 157 Rarefaction 0 25.792079 22.1680783
## 654 BE25 0.95246863 170 Rarefaction 0 26.439213 22.5383663
## 655 BE25 0.95636962 183 Rarefaction 0 27.033413 22.5074807
## 656 BE25 0.96003419 196 Rarefaction 0 27.578409 22.2075011
## 657 BE25 0.96353391 209 Rarefaction 0 28.076820 21.7817253
## 658 BE25 0.96691767 222 Rarefaction 0 28.530470 21.2765448
## 659 BE25 0.97046414 236 Rarefaction 0 28.967217 20.6711500
## 660 BE25 0.97071234 237 Observed 0 29.000000 20.6289472
## 661 BE25 0.97095845 238 Extrapolation 0 29.029288 20.5848121
## 662 BE25 0.97375538 250 Extrapolation 0 29.362122 20.0812322
## 663 BE25 0.97628294 262 Extrapolation 0 29.662902 19.6317269
## 664 BE25 0.97874718 275 Extrapolation 0 29.956147 19.1716686
## 665 BE25 0.98079400 287 Extrapolation 0 30.199717 18.7775953
## 666 BE25 0.98278953 300 Extrapolation 0 30.437187 18.3723321
## 667 BE25 0.98444704 312 Extrapolation 0 30.634429 18.0219165
## 668 BE25 0.98594491 324 Extrapolation 0 30.812676 17.6962990
## 669 BE25 0.98740526 337 Extrapolation 0 30.986458 17.3702298
## 670 BE25 0.98861823 349 Extrapolation 0 31.130801 17.0992561
## 671 BE25 0.98980081 362 Extrapolation 0 31.271529 16.8285117
## 672 BE25 0.99078308 374 Extrapolation 0 31.388418 16.6006087
## 673 BE25 0.99174073 387 Extrapolation 0 31.502379 16.3753795
## 674 BE25 0.99253616 399 Extrapolation 0 31.597035 16.1877055
## 675 BE25 0.99325499 411 Extrapolation 0 31.682576 16.0163937
## 676 BE25 0.99395581 424 Extrapolation 0 31.765973 15.8483497
## 677 BE25 0.99453791 436 Extrapolation 0 31.835243 15.7080533
## 678 BE25 0.99510543 449 Extrapolation 0 31.902778 15.5706910
## 679 BE25 0.99557682 461 Extrapolation 0 31.958873 15.4562069
## 680 BE25 0.99603639 474 Extrapolation 0 32.013563 15.3442838
## 681 BE26 0.17649032 1 Rarefaction 0 1.000011 0.8741001
## 682 BE26 0.71248632 17 Rarefaction 0 8.294866 6.9436678
## 683 BE26 0.82161090 34 Rarefaction 0 12.173888 10.3507065
## 684 BE26 0.87302787 51 Rarefaction 0 14.750612 12.6465710
## 685 BE26 0.90285857 68 Rarefaction 0 16.650579 14.3651489
## 686 BE26 0.92223509 85 Rarefaction 0 18.136340 15.7254523
## 687 BE26 0.93573896 102 Rarefaction 0 19.343969 16.8361954
## 688 BE26 0.94510913 118 Rarefaction 0 20.298432 17.7088325
## 689 BE26 0.95270880 135 Rarefaction 0 21.167954 18.4894723
## 690 BE26 0.95862308 152 Rarefaction 0 21.922608 19.1439153
## 691 BE26 0.96334193 169 Rarefaction 0 22.586843 19.6808588
## 692 BE26 0.96719787 186 Rarefaction 0 23.178151 19.9879718
## 693 BE26 0.97042646 203 Rarefaction 0 23.709207 19.7729860
## 694 BE26 0.97304684 219 Rarefaction 0 24.162274 19.3021265
## 695 BE26 0.97550935 236 Rarefaction 0 24.600382 18.6397344
## 696 BE26 0.97773520 253 Rarefaction 0 24.998639 17.9052061
## 697 BE26 0.97979580 270 Rarefaction 0 25.360463 17.1586935
## 698 BE26 0.98174177 287 Rarefaction 0 25.688233 16.4134985
## 699 BE26 0.98360656 303 Rarefaction 0 25.973329 15.6619934
## 700 BE26 0.98371370 305 Observed 0 26.000000 15.6296253
## 701 BE26 0.98382015 306 Extrapolation 0 26.016286 15.5869153
## 702 BE26 0.98543170 322 Extrapolation 0 26.262853 14.9298146
## 703 BE26 0.98688273 338 Extrapolation 0 26.484861 14.3244879
## 704 BE26 0.98818924 354 Extrapolation 0 26.684756 13.7726414
## 705 BE26 0.98936561 370 Extrapolation 0 26.864742 13.2661550
## 706 BE26 0.99042482 386 Extrapolation 0 27.026800 12.8043353
## 707 BE26 0.99137853 402 Extrapolation 0 27.172718 12.3846871
## 708 BE26 0.99223724 418 Extrapolation 0 27.304101 12.0044694
## 709 BE26 0.99301043 434 Extrapolation 0 27.422399 11.6610276
## 710 BE26 0.99370660 450 Extrapolation 0 27.528914 11.3514528
## 711 BE26 0.99433344 466 Extrapolation 0 27.624819 11.0714455
## 712 BE26 0.99489784 482 Extrapolation 0 27.711173 10.8181245
## 713 BE26 0.99540602 498 Extrapolation 0 27.788925 10.5891039
## 714 BE26 0.99586359 514 Extrapolation 0 27.858933 10.3821722
## 715 BE26 0.99627559 530 Extrapolation 0 27.921968 10.1952882
## 716 BE26 0.99664655 546 Extrapolation 0 27.978725 10.0265325
## 717 BE26 0.99698056 562 Extrapolation 0 28.029829 9.8743487
## 718 BE26 0.99728130 578 Extrapolation 0 28.075842 9.7370475
## 719 BE26 0.99755209 594 Extrapolation 0 28.117273 9.6132379
## 720 BE26 0.99779591 610 Extrapolation 0 28.154577 9.5016148
## 721 BE27 0.08308635 1 Rarefaction 0 1.000004 0.9049386
## 722 BE27 0.62880853 18 Rarefaction 0 10.875745 9.3391032
## 723 BE27 0.76764436 35 Rarefaction 0 15.893032 13.5026214
## 724 BE27 0.82946971 52 Rarefaction 0 19.289492 16.1326215
## 725 BE27 0.86321009 69 Rarefaction 0 21.893523 18.0507359
## 726 BE27 0.88522295 87 Rarefaction 0 24.154245 19.6690152
## 727 BE27 0.89941483 104 Rarefaction 0 25.985423 20.9748623
## 728 BE27 0.91002167 121 Rarefaction 0 27.606655 22.1472614
## 729 BE27 0.91842870 138 Rarefaction 0 29.066563 23.2258069
## 730 BE27 0.92575202 156 Rarefaction 0 30.470592 24.2832781
## 731 BE27 0.93160818 173 Rarefaction 0 31.684711 25.2024364
## 732 BE27 0.93667686 190 Rarefaction 0 32.805833 26.0301869
## 733 BE27 0.94110356 207 Rarefaction 0 33.846082 26.7289659
## 734 BE27 0.94498420 224 Rarefaction 0 34.815560 27.2542196
## 735 BE27 0.94857320 242 Rarefaction 0 35.774586 27.6549656
## 736 BE27 0.95152591 259 Rarefaction 0 36.624651 27.8921361
## 737 BE27 0.95409683 276 Rarefaction 0 37.427632 28.0704506
## 738 BE27 0.95632134 293 Rarefaction 0 38.189723 28.2557391
## 739 BE27 0.95833333 310 Rarefaction 0 38.917532 28.4585227
## 740 BE27 0.95843614 312 Observed 0 39.000000 28.5153223
## 741 BE27 0.95853869 313 Extrapolation 0 39.041564 28.5253542
## 742 BE27 0.96014551 329 Extrapolation 0 39.692809 28.7672215
## 743 BE27 0.96169006 345 Extrapolation 0 40.318816 29.0185741
## 744 BE27 0.96326561 362 Extrapolation 0 40.957387 29.2523551
## 745 BE27 0.96468925 378 Extrapolation 0 41.534385 29.4223551
## 746 BE27 0.96605771 394 Extrapolation 0 42.089022 29.5512041
## 747 BE27 0.96745363 411 Extrapolation 0 42.654791 29.6496683
## 748 BE27 0.96871496 427 Extrapolation 0 43.166006 29.7132126
## 749 BE27 0.96992740 443 Extrapolation 0 43.657410 29.7534085
## 750 BE27 0.97116418 460 Extrapolation 0 44.158677 29.7710051
## 751 BE27 0.97228171 476 Extrapolation 0 44.611610 29.7815639
## 752 BE27 0.97342166 493 Extrapolation 0 45.073633 29.7716693
## 753 BE27 0.97445170 509 Extrapolation 0 45.491107 29.7479450
## 754 BE27 0.97544182 525 Extrapolation 0 45.892402 29.7207126
## 755 BE27 0.97645181 542 Extrapolation 0 46.301752 29.6812269
## 756 BE27 0.97736441 558 Extrapolation 0 46.671630 29.6386926
## 757 BE27 0.97824165 574 Extrapolation 0 47.027174 29.5921448
## 758 BE27 0.97913649 591 Extrapolation 0 47.389854 29.5386692
## 759 BE27 0.97994505 607 Extrapolation 0 47.717564 29.4854649
## 760 BE27 0.98076984 624 Extrapolation 0 48.051851 29.4267137
## 761 BE28 0.07690575 1 Rarefaction 0 1.000000 0.9406420
## 762 BE28 0.59781719 15 Rarefaction 0 9.699110 8.6158330
## 763 BE28 0.76084622 30 Rarefaction 0 14.392766 12.9658966
## 764 BE28 0.83276122 45 Rarefaction 0 17.418907 15.6021834
## 765 BE28 0.87147042 59 Rarefaction 0 19.488163 17.2382656
## 766 BE28 0.89842546 74 Rarefaction 0 21.213805 18.4694912
## 767 BE28 0.91688642 89 Rarefaction 0 22.600171 19.3449446
## 768 BE28 0.93019342 104 Rarefaction 0 23.748697 19.9804584
## 769 BE28 0.93961588 118 Rarefaction 0 24.662034 20.4364331
## 770 BE28 0.94754955 133 Rarefaction 0 25.509952 20.8337891
## 771 BE28 0.95390878 148 Rarefaction 0 26.250541 21.1646742
## 772 BE28 0.95879774 162 Rarefaction 0 26.863021 21.4317379
## 773 BE28 0.96316970 177 Rarefaction 0 27.449457 21.6644380
## 774 BE28 0.96681914 192 Rarefaction 0 27.975553 21.8819559
## 775 BE28 0.96986874 207 Rarefaction 0 28.451233 22.0774494
## 776 BE28 0.97225314 221 Rarefaction 0 28.857092 22.1614700
## 777 BE28 0.97437953 236 Rarefaction 0 29.257897 22.2089024
## 778 BE28 0.97612038 251 Rarefaction 0 29.629572 22.2526821
## 779 BE28 0.97752809 265 Rarefaction 0 29.963526 22.3021178
## 780 BE28 0.97761225 267 Observed 0 30.000000 22.3214430
## 781 BE28 0.97769610 268 Extrapolation 0 30.022388 22.3273467
## 782 BE28 0.97883755 282 Extrapolation 0 30.327153 22.3922349
## 783 BE28 0.97992058 296 Extrapolation 0 30.616322 22.4504331
## 784 BE28 0.98094818 310 Extrapolation 0 30.890692 22.5116863
## 785 BE28 0.98192319 324 Extrapolation 0 31.151020 22.5821011
## 786 BE28 0.98284831 338 Extrapolation 0 31.398026 22.6394506
## 787 BE28 0.98372608 352 Extrapolation 0 31.632391 22.6850007
## 788 BE28 0.98455893 366 Extrapolation 0 31.854761 22.7224391
## 789 BE28 0.98534915 380 Extrapolation 0 32.065752 22.7570028
## 790 BE28 0.98609894 394 Extrapolation 0 32.265944 22.7844460
## 791 BE28 0.98681035 408 Extrapolation 0 32.455891 22.8041612
## 792 BE28 0.98748536 422 Extrapolation 0 32.636118 22.8174493
## 793 BE28 0.98812582 436 Extrapolation 0 32.807121 22.8254093
## 794 BE28 0.98873350 450 Extrapolation 0 32.969372 22.8284674
## 795 BE28 0.98931008 464 Extrapolation 0 33.123321 22.8289648
## 796 BE28 0.98985716 478 Extrapolation 0 33.269390 22.8261097
## 797 BE28 0.99037624 492 Extrapolation 0 33.407984 22.8209378
## 798 BE28 0.99086875 506 Extrapolation 0 33.539485 22.8139025
## 799 BE28 0.99133606 520 Extrapolation 0 33.664257 22.8053847
## 800 BE28 0.99177946 534 Extrapolation 0 33.782643 22.7957046
## 801 BE29 0.10471721 1 Rarefaction 0 1.000000 0.9071209
## 802 BE29 0.63849125 14 Rarefaction 0 8.453725 7.2697965
## 803 BE29 0.78373281 27 Rarefaction 0 12.155710 10.6714770
## 804 BE29 0.86120259 41 Rarefaction 0 14.623939 12.9288966
## 805 BE29 0.90181055 54 Rarefaction 0 16.162183 14.3395090
## 806 BE29 0.92664943 67 Rarefaction 0 17.277252 15.3748041
## 807 BE29 0.94368648 81 Rarefaction 0 18.184816 16.2297376
## 808 BE29 0.95436775 94 Rarefaction 0 18.848822 16.8606821
## 809 BE29 0.96261576 108 Rarefaction 0 19.431023 17.4140598
## 810 BE29 0.96837592 121 Rarefaction 0 19.880895 17.8381163
## 811 BE29 0.97292530 134 Rarefaction 0 20.263634 18.1893619
## 812 BE29 0.97688041 148 Rarefaction 0 20.616016 18.4904649
## 813 BE29 0.97991798 161 Rarefaction 0 20.897785 18.7032803
## 814 BE29 0.98268381 175 Rarefaction 0 21.160430 18.8614459
## 815 BE29 0.98489608 188 Rarefaction 0 21.371946 18.8944345
## 816 BE29 0.98684432 201 Rarefaction 0 21.556356 18.9147351
## 817 BE29 0.98870945 215 Rarefaction 0 21.728161 18.9179955
## 818 BE29 0.99026362 228 Rarefaction 0 21.865444 18.8653075
## 819 BE29 0.99176955 242 Rarefaction 0 21.988576 18.7890212
## 820 BE29 0.99187033 243 Observed 0 22.000000 18.7880186
## 821 BE29 0.99196988 244 Extrapolation 0 22.008130 18.7829322
## 822 BE29 0.99307350 256 Extrapolation 0 22.098259 18.7191474
## 823 BE29 0.99409861 269 Extrapolation 0 22.181976 18.6503788
## 824 BE29 0.99497200 282 Extrapolation 0 22.253303 18.5849220
## 825 BE29 0.99566303 294 Extrapolation 0 22.309737 18.5289295
## 826 BE29 0.99630489 307 Extrapolation 0 22.362156 18.4738174
## 827 BE29 0.99685176 320 Extrapolation 0 22.406817 18.4245824
## 828 BE29 0.99731769 333 Extrapolation 0 22.444868 18.3813602
## 829 BE29 0.99768634 345 Extrapolation 0 22.474974 18.3463542
## 830 BE29 0.99802876 358 Extrapolation 0 22.502938 18.3132285
## 831 BE29 0.99832050 371 Extrapolation 0 22.526764 18.2845153
## 832 BE29 0.99856906 384 Extrapolation 0 22.547063 18.2597107
## 833 BE29 0.99876572 396 Extrapolation 0 22.563124 18.2398631
## 834 BE29 0.99894839 409 Extrapolation 0 22.578042 18.2212531
## 835 BE29 0.99910403 422 Extrapolation 0 22.590752 18.2052621
## 836 BE29 0.99923663 435 Extrapolation 0 22.601581 18.1915414
## 837 BE29 0.99934154 447 Extrapolation 0 22.610149 18.1806224
## 838 BE29 0.99943899 460 Extrapolation 0 22.618108 18.1704298
## 839 BE29 0.99952202 473 Extrapolation 0 22.624888 18.1617070
## 840 BE29 0.99959276 486 Extrapolation 0 22.630665 18.1542484
## 841 BE3 0.04497226 1 Rarefaction 0 1.000000 0.9708240
## 842 BE3 0.48867636 17 Rarefaction 0 12.399452 11.1594768
## 843 BE3 0.67624361 33 Rarefaction 0 18.989246 17.2086744
## 844 BE3 0.77350764 49 Rarefaction 0 23.367749 21.1796841
## 845 BE3 0.83240496 65 Rarefaction 0 26.515116 24.0146127
## 846 BE3 0.87322655 82 Rarefaction 0 29.013963 26.2566733
## 847 BE3 0.89936903 98 Rarefaction 0 30.833873 27.8783020
## 848 BE3 0.91784320 114 Rarefaction 0 32.297182 29.1702254
## 849 BE3 0.93118731 130 Rarefaction 0 33.506063 30.2247474
## 850 BE3 0.94158892 147 Rarefaction 0 34.588195 31.1539500
## 851 BE3 0.94897040 163 Rarefaction 0 35.464881 31.8958747
## 852 BE3 0.95475163 179 Rarefaction 0 36.236231 32.5446752
## 853 BE3 0.95940849 195 Rarefaction 0 36.924029 33.1234562
## 854 BE3 0.96325862 211 Rarefaction 0 37.543707 33.6423625
## 855 BE3 0.96670337 228 Rarefaction 0 38.139947 34.1199589
## 856 BE3 0.96948973 244 Rarefaction 0 38.651286 34.4182542
## 857 BE3 0.97193655 260 Rarefaction 0 39.120701 34.3570399
## 858 BE3 0.97411467 276 Rarefaction 0 39.553061 34.1277526
## 859 BE3 0.97619048 292 Rarefaction 0 39.958056 33.8042178
## 860 BE3 0.97630600 294 Observed 0 40.000000 33.8033137
## 861 BE3 0.97642096 295 Extrapolation 0 40.023694 33.7845785
## 862 BE3 0.97807997 310 Extrapolation 0 40.365616 33.5001955
## 863 BE3 0.97962226 325 Extrapolation 0 40.683480 33.2350654
## 864 BE3 0.98114794 341 Extrapolation 0 40.997924 32.9754093
## 865 BE3 0.98247436 356 Extrapolation 0 41.271299 32.7126226
## 866 BE3 0.98378651 372 Extrapolation 0 41.541733 32.4290593
## 867 BE3 0.98492728 387 Extrapolation 0 41.776846 32.1640330
## 868 BE3 0.98598779 402 Extrapolation 0 41.995417 31.9053255
## 869 BE3 0.98703689 418 Extrapolation 0 42.211636 31.6407962
## 870 BE3 0.98794897 433 Extrapolation 0 42.399615 31.4022926
## 871 BE3 0.98885123 449 Extrapolation 0 42.585572 31.1590910
## 872 BE3 0.98963565 464 Extrapolation 0 42.747241 30.9423504
## 873 BE3 0.99041163 480 Extrapolation 0 42.907170 30.7235683
## 874 BE3 0.99108626 495 Extrapolation 0 43.046212 30.5301651
## 875 BE3 0.99171343 510 Extrapolation 0 43.175471 30.3479081
## 876 BE3 0.99233385 526 Extrapolation 0 43.303339 30.1654348
## 877 BE3 0.99287323 541 Extrapolation 0 43.414507 30.0051422
## 878 BE3 0.99340682 557 Extrapolation 0 43.524478 29.8451651
## 879 BE3 0.99387071 572 Extrapolation 0 43.620086 29.7050442
## 880 BE3 0.99432961 588 Extrapolation 0 43.714666 29.5655388
## 881 BE30 0.13675934 1 Rarefaction 0 1.000017 0.8927834
## 882 BE30 0.69084723 15 Rarefaction 0 8.070299 6.7340792
## 883 BE30 0.81206004 30 Rarefaction 0 11.723176 9.7947925
## 884 BE30 0.86776595 45 Rarefaction 0 14.106033 11.5823501
## 885 BE30 0.89591355 59 Rarefaction 0 15.756408 12.6803408
## 886 BE30 0.91348925 74 Rarefaction 0 17.183197 13.5433613
## 887 BE30 0.92418871 89 Rarefaction 0 18.399835 14.2538566
## 888 BE30 0.93076970 103 Rarefaction 0 19.415609 14.8633024
## 889 BE30 0.93575362 118 Rarefaction 0 20.417180 15.4818090
## 890 BE30 0.93949814 133 Rarefaction 0 21.353510 16.0346349
## 891 BE30 0.94233593 147 Rarefaction 0 22.181531 16.4301305
## 892 BE30 0.94495353 162 Rarefaction 0 23.027748 16.5971731
## 893 BE30 0.94729956 177 Rarefaction 0 23.836757 16.6132012
## 894 BE30 0.94932979 191 Rarefaction 0 24.561220 16.5674418
## 895 BE30 0.95138528 206 Rarefaction 0 25.306752 16.4715455
## 896 BE30 0.95334522 221 Rarefaction 0 26.022146 16.3379148
## 897 BE30 0.95510129 235 Rarefaction 0 26.663822 16.1527504
## 898 BE30 0.95691039 250 Rarefaction 0 27.324547 15.8839369
## 899 BE30 0.95864662 264 Rarefaction 0 27.935277 15.5225952
## 900 BE30 0.95875980 266 Observed 0 28.000000 15.5214614
## 901 BE30 0.95887267 267 Extrapolation 0 28.041240 15.4945047
## 902 BE30 0.96031218 280 Extrapolation 0 28.567203 15.1464503
## 903 BE30 0.96180613 294 Extrapolation 0 29.113055 14.7447115
## 904 BE30 0.96324385 308 Extrapolation 0 29.638360 14.3291495
## 905 BE30 0.96462744 322 Extrapolation 0 30.143891 13.9038699
## 906 BE30 0.96595896 336 Extrapolation 0 30.630393 13.4820093
## 907 BE30 0.96724035 350 Extrapolation 0 31.098582 13.0711118
## 908 BE30 0.96847351 364 Extrapolation 0 31.549146 12.6517488
## 909 BE30 0.96966024 378 Extrapolation 0 31.982751 12.2278823
## 910 BE30 0.97080231 392 Extrapolation 0 32.400033 11.8032844
## 911 BE30 0.97190138 406 Extrapolation 0 32.801608 11.3819941
## 912 BE30 0.97295909 420 Extrapolation 0 33.188066 10.9671779
## 913 BE30 0.97397698 434 Extrapolation 0 33.559977 10.5617860
## 914 BE30 0.97495655 448 Extrapolation 0 33.917889 10.1651109
## 915 BE30 0.97589925 462 Extrapolation 0 34.262327 9.7777306
## 916 BE30 0.97680646 476 Extrapolation 0 34.593801 9.4017886
## 917 BE30 0.97767953 490 Extrapolation 0 34.912796 9.0432315
## 918 BE30 0.97851973 504 Extrapolation 0 35.219784 8.6977666
## 919 BE30 0.97932830 518 Extrapolation 0 35.515216 8.3607860
## 920 BE30 0.98010643 532 Extrapolation 0 35.799528 8.0327233
## 921 BE4 0.06215005 1 Rarefaction 0 1.000000 0.9550804
## 922 BE4 0.67668576 23 Rarefaction 0 13.387599 11.9364281
## 923 BE4 0.83245343 46 Rarefaction 0 18.785703 16.7290261
## 924 BE4 0.89425700 69 Rarefaction 0 21.872317 19.4648931
## 925 BE4 0.92632697 92 Rarefaction 0 23.916708 21.2649121
## 926 BE4 0.94533766 115 Rarefaction 0 25.384883 22.4920407
## 927 BE4 0.95755552 138 Rarefaction 0 26.498154 23.3181223
## 928 BE4 0.96584106 161 Rarefaction 0 27.377437 23.8496311
## 929 BE4 0.97167392 184 Rarefaction 0 28.095194 24.1539716
## 930 BE4 0.97589497 207 Rarefaction 0 28.697752 24.2627488
## 931 BE4 0.97901707 230 Rarefaction 0 29.216085 23.9611869
## 932 BE4 0.98136906 253 Rarefaction 0 29.671586 23.2203576
## 933 BE4 0.98316847 276 Rarefaction 0 30.079406 22.5193842
## 934 BE4 0.98456145 299 Rarefaction 0 30.450540 21.9459594
## 935 BE4 0.98564665 322 Rarefaction 0 30.793173 21.5379086
## 936 BE4 0.98649055 345 Rarefaction 0 31.113604 21.2647805
## 937 BE4 0.98713778 368 Rarefaction 0 31.416859 21.1099944
## 938 BE4 0.98761825 391 Rarefaction 0 31.707107 21.0616192
## 939 BE4 0.98795181 413 Rarefaction 0 31.977116 21.0978936
## 940 BE4 0.98796344 415 Observed 0 32.000000 21.1125647
## 941 BE4 0.98797506 416 Extrapolation 0 32.012037 21.1170444
## 942 BE4 0.98821647 437 Extrapolation 0 32.262138 21.1986070
## 943 BE4 0.98846418 459 Extrapolation 0 32.518765 21.2812480
## 944 BE4 0.98870668 481 Extrapolation 0 32.769997 21.3612984
## 945 BE4 0.98894408 503 Extrapolation 0 33.015949 21.4389613
## 946 BE4 0.98916604 524 Extrapolation 0 33.245895 21.5110490
## 947 BE4 0.98939379 546 Extrapolation 0 33.481842 21.5846137
## 948 BE4 0.98961675 568 Extrapolation 0 33.712829 21.6563662
## 949 BE4 0.98983502 590 Extrapolation 0 33.938960 21.7264791
## 950 BE4 0.99004871 612 Extrapolation 0 34.160338 21.7950563
## 951 BE4 0.99024849 633 Extrapolation 0 34.367310 21.8590357
## 952 BE4 0.99045348 655 Extrapolation 0 34.579683 21.9242864
## 953 BE4 0.99065416 677 Extrapolation 0 34.787592 21.9875829
## 954 BE4 0.99085063 699 Extrapolation 0 34.991130 22.0490182
## 955 BE4 0.99104296 721 Extrapolation 0 35.190389 22.1086932
## 956 BE4 0.99122278 742 Extrapolation 0 35.376682 22.1641022
## 957 BE4 0.99140729 764 Extrapolation 0 35.567836 22.2206132
## 958 BE4 0.99158793 786 Extrapolation 0 35.754972 22.2756434
## 959 BE4 0.99176476 808 Extrapolation 0 35.938174 22.3292857
## 960 BE4 0.99193788 830 Extrapolation 0 36.117525 22.3816336
## 961 BE5 0.35176229 1 Rarefaction 0 1.000010 0.8090182
## 962 BE5 0.70561256 11 Rarefaction 0 4.931668 3.3509249
## 963 BE5 0.78940782 22 Rarefaction 0 7.721932 6.2346179
## 964 BE5 0.84680118 33 Rarefaction 0 9.731950 8.2193528
## 965 BE5 0.88639406 44 Rarefaction 0 11.206001 9.6060799
## 966 BE5 0.91396158 55 Rarefaction 0 12.308908 10.5871137
## 967 BE5 0.93336106 66 Rarefaction 0 13.152247 11.2930262
## 968 BE5 0.94715820 77 Rarefaction 0 13.812090 11.8112590
## 969 BE5 0.95706396 88 Rarefaction 0 14.340881 12.1930397
## 970 BE5 0.96423172 99 Rarefaction 0 14.775257 12.4567316
## 971 BE5 0.96945379 110 Rarefaction 0 15.141114 12.5242587
## 972 BE5 0.97328841 121 Rarefaction 0 15.456892 12.3199677
## 973 BE5 0.97613936 132 Rarefaction 0 15.735721 12.1610739
## 974 BE5 0.97830520 143 Rarefaction 0 15.986848 12.0477241
## 975 BE5 0.98000924 154 Rarefaction 0 16.216635 11.9783806
## 976 BE5 0.98141829 165 Rarefaction 0 16.429282 11.9276276
## 977 BE5 0.98265471 176 Rarefaction 0 16.627386 11.8952950
## 978 BE5 0.98380479 187 Rarefaction 0 16.812386 11.8672072
## 979 BE5 0.98492462 197 Rarefaction 0 16.974141 11.8284068
## 980 BE5 0.98502546 199 Observed 0 17.000000 11.8368268
## 981 BE5 0.98512563 200 Extrapolation 0 17.014975 11.8330280
## 982 BE5 0.98609115 210 Extrapolation 0 17.159320 11.7930987
## 983 BE5 0.98699399 220 Extrapolation 0 17.294296 11.7511302
## 984 BE5 0.98791959 231 Extrapolation 0 17.432672 11.7043804
## 985 BE5 0.98870375 241 Extrapolation 0 17.549904 11.6628365
## 986 BE5 0.98950766 252 Extrapolation 0 17.670089 11.6206001
## 987 BE5 0.99018874 262 Extrapolation 0 17.771910 11.5911857
## 988 BE5 0.99082560 272 Extrapolation 0 17.867121 11.5531306
## 989 BE5 0.99147851 283 Extrapolation 0 17.964731 11.5124069
## 990 BE5 0.99203166 293 Extrapolation 0 18.047426 11.4766493
## 991 BE5 0.99259874 304 Extrapolation 0 18.132205 11.4389023
## 992 BE5 0.99307917 314 Extrapolation 0 18.204029 11.4061597
## 993 BE5 0.99357170 325 Extrapolation 0 18.277662 11.3719945
## 994 BE5 0.99398897 335 Extrapolation 0 18.340044 11.3427315
## 995 BE5 0.99437916 345 Extrapolation 0 18.398377 11.3153644
## 996 BE5 0.99477917 356 Extrapolation 0 18.458180 11.2881030
## 997 BE5 0.99511806 366 Extrapolation 0 18.508844 11.2661819
## 998 BE5 0.99546549 377 Extrapolation 0 18.560785 11.2386589
## 999 BE5 0.99575984 387 Extrapolation 0 18.604789 11.2147416
## 1000 BE5 0.99606159 398 Extrapolation 0 18.649902 11.1899664
## 1001 BE6 0.16285967 1 Rarefaction 0 1.000012 0.7841834
## 1002 BE6 0.62516067 12 Rarefaction 0 6.975708 5.4243805
## 1003 BE6 0.74446801 23 Rarefaction 0 10.431181 8.5195545
## 1004 BE6 0.81486411 35 Rarefaction 0 13.070097 10.7254137
## 1005 BE6 0.85340244 46 Rarefaction 0 14.898257 12.1339577
## 1006 BE6 0.88068502 58 Rarefaction 0 16.496120 13.2755925
## 1007 BE6 0.89790083 69 Rarefaction 0 17.717361 14.0795470
## 1008 BE6 0.91153340 81 Rarefaction 0 18.863366 14.7698365
## 1009 BE6 0.92098748 92 Rarefaction 0 19.787110 15.2842571
## 1010 BE6 0.92910660 104 Rarefaction 0 20.688741 15.7548718
## 1011 BE6 0.93515474 115 Rarefaction 0 21.437317 16.1207598
## 1012 BE6 0.94024272 126 Rarefaction 0 22.124425 16.4279434
## 1013 BE6 0.94496635 138 Rarefaction 0 22.814778 16.6872396
## 1014 BE6 0.94869527 149 Rarefaction 0 23.401035 16.8350427
## 1015 BE6 0.95221972 161 Rarefaction 0 23.996785 16.8920815
## 1016 BE6 0.95501692 172 Rarefaction 0 24.508026 16.8986884
## 1017 BE6 0.95764300 184 Rarefaction 0 25.032957 16.9033552
## 1018 BE6 0.95968731 195 Rarefaction 0 25.488356 16.9161461
## 1019 BE6 0.96153846 207 Rarefaction 0 25.960598 16.9839848
## 1020 BE6 0.96167731 208 Observed 0 26.000000 16.9933090
## 1021 BE6 0.96181566 209 Extrapolation 0 26.038323 16.9976755
## 1022 BE6 0.96317198 219 Extrapolation 0 26.414022 17.0503885
## 1023 BE6 0.96460835 230 Extrapolation 0 26.811897 17.0934673
## 1024 BE6 0.96598870 241 Extrapolation 0 27.194253 17.1371141
## 1025 BE6 0.96731521 252 Extrapolation 0 27.561697 17.1920532
## 1026 BE6 0.96858998 263 Extrapolation 0 27.914810 17.2026804
## 1027 BE6 0.96981504 274 Extrapolation 0 28.254150 17.1931678
## 1028 BE6 0.97099232 285 Extrapolation 0 28.580256 17.1681773
## 1029 BE6 0.97212368 296 Extrapolation 0 28.893643 17.1305990
## 1030 BE6 0.97321091 307 Extrapolation 0 29.194807 17.0823529
## 1031 BE6 0.97416246 317 Extrapolation 0 29.458387 17.0312520
## 1032 BE6 0.97517018 328 Extrapolation 0 29.737525 16.9690714
## 1033 BE6 0.97613860 339 Extrapolation 0 30.005776 16.9011968
## 1034 BE6 0.97706924 350 Extrapolation 0 30.263565 16.8315089
## 1035 BE6 0.97796359 361 Extrapolation 0 30.511299 16.7569914
## 1036 BE6 0.97882306 372 Extrapolation 0 30.749371 16.6798689
## 1037 BE6 0.97964900 383 Extrapolation 0 30.978158 16.6009771
## 1038 BE6 0.98044273 394 Extrapolation 0 31.198021 16.5210036
## 1039 BE6 0.98120551 405 Extrapolation 0 31.409310 16.4405628
## 1040 BE6 0.98193853 416 Extrapolation 0 31.612358 16.3601868
## 1041 BE7 0.28952439 1 Rarefaction 0 1.000012 0.9101194
## 1042 BE7 0.83973677 30 Rarefaction 0 9.448939 8.3608371
## 1043 BE7 0.90966916 60 Rarefaction 0 13.036943 11.4933903
## 1044 BE7 0.93536280 90 Rarefaction 0 15.324703 13.3437188
## 1045 BE7 0.94870255 120 Rarefaction 0 17.052653 14.6930985
## 1046 BE7 0.95704294 150 Rarefaction 0 18.462130 15.7777057
## 1047 BE7 0.96277406 180 Rarefaction 0 19.662845 16.6975613
## 1048 BE7 0.96693917 210 Rarefaction 0 20.716161 17.4933106
## 1049 BE7 0.97010412 240 Rarefaction 0 21.660100 18.1879060
## 1050 BE7 0.97261278 270 Rarefaction 0 22.519277 18.8022898
## 1051 BE7 0.97461947 299 Rarefaction 0 23.284602 19.3316530
## 1052 BE7 0.97639921 329 Rarefaction 0 24.019588 19.8196433
## 1053 BE7 0.97796738 359 Rarefaction 0 24.704430 20.2576269
## 1054 BE7 0.97938288 389 Rarefaction 0 25.344558 20.6535357
## 1055 BE7 0.98068457 419 Rarefaction 0 25.943951 21.0061487
## 1056 BE7 0.98189892 449 Rarefaction 0 26.505614 21.3019549
## 1057 BE7 0.98304485 479 Rarefaction 0 27.031879 21.5494698
## 1058 BE7 0.98413657 509 Rarefaction 0 27.524583 21.7560038
## 1059 BE7 0.98518519 539 Rarefaction 0 27.984049 21.9213459
## 1060 BE7 0.98521946 540 Observed 0 28.000000 21.9253321
## 1061 BE7 0.98525366 541 Extrapolation 0 28.014781 21.9299010
## 1062 BE7 0.98617975 569 Extrapolation 0 28.415036 22.0487082
## 1063 BE7 0.98704768 597 Extrapolation 0 28.790155 22.1542156
## 1064 BE7 0.98788919 626 Extrapolation 0 29.153854 22.2523186
## 1065 BE7 0.98864976 654 Extrapolation 0 29.482575 22.3408020
## 1066 BE7 0.98936257 682 Extrapolation 0 29.790651 22.4242392
## 1067 BE7 0.99005368 711 Extrapolation 0 30.089348 22.5055995
## 1068 BE7 0.99067832 739 Extrapolation 0 30.359318 22.5990708
## 1069 BE7 0.99126373 767 Extrapolation 0 30.612334 22.7102690
## 1070 BE7 0.99183133 796 Extrapolation 0 30.857647 22.7937619
## 1071 BE7 0.99234433 824 Extrapolation 0 31.079367 22.8571583
## 1072 BE7 0.99284172 853 Extrapolation 0 31.294337 22.9079827
## 1073 BE7 0.99329126 881 Extrapolation 0 31.488633 22.9457267
## 1074 BE7 0.99371258 909 Extrapolation 0 31.670726 22.9743711
## 1075 BE7 0.99412107 938 Extrapolation 0 31.847276 22.9961379
## 1076 BE7 0.99449028 966 Extrapolation 0 32.006846 23.0108932
## 1077 BE7 0.99483629 994 Extrapolation 0 32.156394 23.0209122
## 1078 BE7 0.99517178 1023 Extrapolation 0 32.301391 23.0274128
## 1079 BE7 0.99547500 1051 Extrapolation 0 32.432442 23.0306838
## 1080 BE7 0.99576898 1080 Extrapolation 0 32.559503 23.0315915
## 1081 BE8 0.13857829 1 Rarefaction 0 1.000001 0.8437159
## 1082 BE8 0.60221071 13 Rarefaction 0 7.833930 6.5460893
## 1083 BE8 0.73498327 25 Rarefaction 0 11.798526 10.2258310
## 1084 BE8 0.81267269 37 Rarefaction 0 14.514180 12.7259292
## 1085 BE8 0.86197643 49 Rarefaction 0 16.470223 14.4929659
## 1086 BE8 0.89495371 61 Rarefaction 0 17.932719 15.7842245
## 1087 BE8 0.91789047 73 Rarefaction 0 19.059252 16.7544540
## 1088 BE8 0.93433021 85 Rarefaction 0 19.948933 17.4928429
## 1089 BE8 0.94640008 97 Rarefaction 0 20.667020 18.0518935
## 1090 BE8 0.95544358 109 Rarefaction 0 21.257979 18.4651580
## 1091 BE8 0.96234670 121 Rarefaction 0 21.752903 18.7527405
## 1092 BE8 0.96771483 133 Rarefaction 0 22.173932 18.9170869
## 1093 BE8 0.97197212 145 Rarefaction 0 22.537003 18.9833017
## 1094 BE8 0.97541998 157 Rarefaction 0 22.853691 18.8764013
## 1095 BE8 0.97827310 169 Rarefaction 0 23.132453 18.7569734
## 1096 BE8 0.98068353 181 Rarefaction 0 23.379539 18.6387657
## 1097 BE8 0.98275793 193 Rarefaction 0 23.599635 18.5296761
## 1098 BE8 0.98457089 205 Rarefaction 0 23.796339 18.4244284
## 1099 BE8 0.98630137 218 Rarefaction 0 23.982210 18.3172357
## 1100 BE8 0.98642590 219 Observed 0 24.000000 18.3160195
## 1101 BE8 0.98654930 220 Extrapolation 0 24.013574 18.3093117
## 1102 BE8 0.98783487 231 Extrapolation 0 24.154987 18.2330447
## 1103 BE8 0.98899757 242 Extrapolation 0 24.282883 18.1548312
## 1104 BE8 0.99013960 254 Extrapolation 0 24.408507 18.0705119
## 1105 BE8 0.99108202 265 Extrapolation 0 24.512173 17.9968542
## 1106 BE8 0.99200769 277 Extrapolation 0 24.613997 17.9206378
## 1107 BE8 0.99277157 288 Extrapolation 0 24.698023 17.8543487
## 1108 BE8 0.99352187 300 Extrapolation 0 24.780556 17.7863742
## 1109 BE8 0.99414102 311 Extrapolation 0 24.848663 17.7282087
## 1110 BE8 0.99474918 323 Extrapolation 0 24.915560 17.6692825
## 1111 BE8 0.99525103 334 Extrapolation 0 24.970764 17.6192520
## 1112 BE8 0.99574397 346 Extrapolation 0 25.024987 17.5691501
## 1113 BE8 0.99615074 357 Extrapolation 0 25.069732 17.5270768
## 1114 BE8 0.99655029 369 Extrapolation 0 25.113682 17.4851845
## 1115 BE8 0.99688000 380 Extrapolation 0 25.149951 17.4502027
## 1116 BE8 0.99720385 392 Extrapolation 0 25.185574 17.4154889
## 1117 BE8 0.99747110 403 Extrapolation 0 25.214971 17.3865847
## 1118 BE8 0.99773359 415 Extrapolation 0 25.243846 17.3579706
## 1119 BE8 0.99795021 426 Extrapolation 0 25.267673 17.3341940
## 1120 BE8 0.99816297 438 Extrapolation 0 25.291078 17.3106976
## 1121 BE9 0.06994467 1 Rarefaction 0 1.000000 0.9121871
## 1122 BE9 0.61280390 18 Rarefaction 0 11.347823 9.8365945
## 1123 BE9 0.77559174 35 Rarefaction 0 16.420867 14.1620062
## 1124 BE9 0.84858099 52 Rarefaction 0 19.580956 16.6960176
## 1125 BE9 0.88763739 69 Rarefaction 0 21.812286 18.3706629
## 1126 BE9 0.91132824 86 Rarefaction 0 23.518079 19.5755177
## 1127 BE9 0.92712485 103 Rarefaction 0 24.890987 20.4763259
## 1128 BE9 0.93838890 120 Rarefaction 0 26.034800 21.1304719
## 1129 BE9 0.94677883 137 Rarefaction 0 27.011773 21.5471517
## 1130 BE9 0.95352031 155 Rarefaction 0 27.909686 21.6995368
## 1131 BE9 0.95842169 172 Rarefaction 0 28.658911 21.5844512
## 1132 BE9 0.96225640 189 Rarefaction 0 29.333756 21.3326852
## 1133 BE9 0.96527460 206 Rarefaction 0 29.950244 21.0537520
## 1134 BE9 0.96766469 223 Rarefaction 0 30.520681 20.7777599
## 1135 BE9 0.96957087 240 Rarefaction 0 31.054533 20.5881130
## 1136 BE9 0.97110286 257 Rarefaction 0 31.559108 20.5293063
## 1137 BE9 0.97234201 274 Rarefaction 0 32.040079 20.5365521
## 1138 BE9 0.97334585 291 Rarefaction 0 32.501934 20.6071153
## 1139 BE9 0.97419355 309 Rarefaction 0 32.970210 20.7693021
## 1140 BE9 0.97423524 310 Observed 0 33.000000 20.7855440
## 1141 BE9 0.97427686 311 Extrapolation 0 33.025765 20.7963007
## 1142 BE9 0.97493376 327 Extrapolation 0 33.432386 20.9518956
## 1143 BE9 0.97557389 343 Extrapolation 0 33.828623 21.0952643
## 1144 BE9 0.97619766 359 Extrapolation 0 34.214741 21.2284401
## 1145 BE9 0.97684298 376 Extrapolation 0 34.614193 21.3614388
## 1146 BE9 0.97743435 392 Extrapolation 0 34.980249 21.4788397
## 1147 BE9 0.97801062 408 Extrapolation 0 35.336958 21.5983947
## 1148 BE9 0.97857217 424 Extrapolation 0 35.684557 21.7048519
## 1149 BE9 0.97915311 441 Extrapolation 0 36.044160 21.8091582
## 1150 BE9 0.97968548 457 Extrapolation 0 36.373700 21.9005287
## 1151 BE9 0.98020426 473 Extrapolation 0 36.694823 21.9870278
## 1152 BE9 0.98070979 489 Extrapolation 0 37.007746 22.0683123
## 1153 BE9 0.98123278 506 Extrapolation 0 37.331476 22.1562385
## 1154 BE9 0.98171204 522 Extrapolation 0 37.628140 22.2294719
## 1155 BE9 0.98217907 538 Extrapolation 0 37.917229 22.2969106
## 1156 BE9 0.98263416 554 Extrapolation 0 38.198935 22.3591588
## 1157 BE9 0.98310498 571 Extrapolation 0 38.490369 22.4202474
## 1158 BE9 0.98353643 587 Extrapolation 0 38.757439 22.4735760
## 1159 BE9 0.98395687 603 Extrapolation 0 39.017688 22.5228296
## 1160 BE9 0.98439182 620 Extrapolation 0 39.286925 22.5726575
## qD.UCL
## 1 1.144104
## 2 6.054404
## 3 8.439307
## 4 9.945174
## 5 11.157348
## 6 12.138146
## 7 12.908272
## 8 13.615684
## 9 14.199618
## 10 14.768607
## 11 15.294174
## 12 15.755097
## 13 16.232970
## 14 16.688770
## 15 17.166857
## 16 17.636137
## 17 18.071414
## 18 18.522047
## 19 18.942900
## 20 18.984391
## 21 19.015944
## 22 19.398188
## 23 19.790938
## 24 20.168986
## 25 20.531035
## 26 20.871972
## 27 21.194310
## 28 21.497586
## 29 21.781863
## 30 22.047943
## 31 22.279672
## 32 22.513360
## 33 22.731286
## 34 22.934207
## 35 23.122901
## 36 23.298161
## 37 23.460782
## 38 23.611576
## 39 23.751302
## 40 23.880790
## 41 1.106374
## 42 13.354349
## 43 18.768761
## 44 22.311649
## 45 24.756575
## 46 26.695796
## 47 28.392413
## 48 29.818713
## 49 31.187894
## 50 32.494040
## 51 34.204095
## 52 36.244357
## 53 37.982960
## 54 39.510348
## 55 40.724691
## 56 41.741707
## 57 42.650330
## 58 43.413251
## 59 44.125224
## 60 44.165123
## 61 44.193539
## 62 44.820704
## 63 45.427727
## 64 46.014696
## 65 46.581623
## 66 47.152606
## 67 47.678699
## 68 48.187715
## 69 48.679699
## 70 49.154617
## 71 49.632511
## 72 50.070223
## 73 50.484848
## 74 50.894281
## 75 51.290850
## 76 51.692025
## 77 52.063239
## 78 52.422522
## 79 52.770164
## 80 53.121448
## 81 1.113520
## 82 8.606502
## 83 12.469229
## 84 14.761810
## 85 16.549212
## 86 17.773218
## 87 18.800357
## 88 19.546988
## 89 20.214637
## 90 20.724878
## 91 21.200120
## 92 21.594836
## 93 22.074861
## 94 22.612510
## 95 23.168346
## 96 23.642374
## 97 24.069242
## 98 24.456970
## 99 24.854483
## 100 24.887475
## 101 24.919678
## 102 25.221661
## 103 25.513773
## 104 25.767700
## 105 25.987604
## 106 26.177426
## 107 26.340828
## 108 26.481271
## 109 26.601848
## 110 26.705276
## 111 26.793934
## 112 26.869888
## 113 26.934928
## 114 26.990602
## 115 27.038244
## 116 27.079002
## 117 27.113863
## 118 27.143678
## 119 27.169167
## 120 27.190963
## 121 1.027054
## 122 13.912385
## 123 20.328799
## 124 24.734020
## 125 27.894272
## 126 30.493318
## 127 32.845978
## 128 34.815029
## 129 36.688868
## 130 38.314728
## 131 39.827826
## 132 41.330270
## 133 42.685112
## 134 44.061397
## 135 45.328798
## 136 46.575356
## 137 47.889751
## 138 49.113317
## 139 50.354309
## 140 50.437186
## 141 50.505044
## 142 51.615749
## 143 52.704640
## 144 53.834554
## 145 54.872366
## 146 55.934708
## 147 56.900797
## 148 57.882400
## 149 58.769384
## 150 59.666272
## 151 60.475125
## 152 61.291839
## 153 62.027179
## 154 62.769055
## 155 63.436008
## 156 64.107358
## 157 64.709682
## 158 65.315200
## 159 65.857776
## 160 66.402581
## 161 1.067829
## 162 14.810335
## 163 22.256113
## 164 27.201980
## 165 30.795622
## 166 33.938055
## 167 36.653618
## 168 38.949537
## 169 41.145946
## 170 43.180421
## 171 45.022910
## 172 46.940035
## 173 48.799389
## 174 50.440571
## 175 52.049565
## 176 53.541304
## 177 54.867195
## 178 56.182834
## 179 57.404924
## 180 57.487450
## 181 57.550032
## 182 58.604650
## 183 59.679790
## 184 60.780626
## 185 61.838417
## 186 62.954475
## 187 64.066608
## 188 65.108598
## 189 66.193438
## 190 67.255942
## 191 68.236955
## 192 69.241871
## 193 70.212770
## 194 71.099816
## 195 72.000357
## 196 72.864498
## 197 73.649580
## 198 74.443283
## 199 75.201741
## 200 75.925835
## 201 1.055210
## 202 9.359110
## 203 16.128953
## 204 20.760735
## 205 24.933256
## 206 28.338276
## 207 30.899132
## 208 33.387816
## 209 35.329094
## 210 37.274162
## 211 39.021058
## 212 40.452561
## 213 42.003654
## 214 43.586267
## 215 45.618093
## 216 47.671422
## 217 49.431558
## 218 51.279227
## 219 52.951996
## 220 53.164070
## 221 53.344250
## 222 54.746673
## 223 56.083755
## 224 57.364253
## 225 58.589400
## 226 59.901968
## 227 61.011324
## 228 62.067229
## 229 63.069253
## 230 64.012795
## 231 65.018241
## 232 65.866400
## 233 66.671993
## 234 67.437718
## 235 68.164811
## 236 68.939323
## 237 69.590942
## 238 70.212341
## 239 70.796390
## 240 71.420673
## 241 1.084103
## 242 11.284858
## 243 15.548243
## 244 18.192848
## 245 20.063193
## 246 21.543830
## 247 22.651622
## 248 23.564228
## 249 24.342801
## 250 25.061400
## 251 25.673065
## 252 26.226173
## 253 26.722286
## 254 27.162166
## 255 27.573057
## 256 27.928666
## 257 28.275297
## 258 28.580218
## 259 28.831369
## 260 28.849078
## 261 28.862688
## 262 29.100154
## 263 29.324627
## 264 29.534115
## 265 29.737001
## 266 29.914308
## 267 30.078615
## 268 30.230105
## 269 30.376489
## 270 30.502713
## 271 30.616571
## 272 30.719528
## 273 30.822668
## 274 30.911415
## 275 30.992128
## 276 31.065458
## 277 31.135528
## 278 31.195569
## 279 31.249984
## 280 31.301870
## 281 1.049943
## 282 10.561778
## 283 16.643452
## 284 20.340446
## 285 23.248262
## 286 25.270609
## 287 27.012256
## 288 28.312075
## 289 29.499463
## 290 30.430067
## 291 31.314741
## 292 32.037024
## 293 32.760424
## 294 33.439672
## 295 34.416245
## 296 35.326458
## 297 36.260093
## 298 37.065491
## 299 37.850366
## 300 37.910705
## 301 37.965914
## 302 38.383032
## 303 38.643424
## 304 38.785427
## 305 38.862479
## 306 38.904181
## 307 38.926720
## 308 38.938892
## 309 38.945465
## 310 38.949012
## 311 38.950927
## 312 38.951960
## 313 38.952517
## 314 38.952818
## 315 38.952980
## 316 38.953067
## 317 38.953115
## 318 38.953140
## 319 38.953154
## 320 38.953161
## 321 1.089344
## 322 13.809071
## 323 20.759328
## 324 26.063554
## 325 30.073592
## 326 33.628981
## 327 36.609965
## 328 39.440213
## 329 41.923970
## 330 44.383319
## 331 46.670445
## 332 49.033364
## 333 51.423000
## 334 53.527665
## 335 55.554945
## 336 57.328353
## 337 59.034106
## 338 60.541601
## 339 62.063746
## 340 62.177166
## 341 62.251417
## 342 63.660616
## 343 65.072835
## 344 66.556772
## 345 67.959958
## 346 69.416478
## 347 70.775888
## 348 72.105354
## 349 73.487736
## 350 74.781427
## 351 76.120165
## 352 77.367743
## 353 78.653251
## 354 79.846492
## 355 81.011155
## 356 82.205754
## 357 83.311284
## 358 84.443390
## 359 85.488907
## 360 86.560506
## 361 1.112787
## 362 13.191008
## 363 19.475181
## 364 23.825306
## 365 27.038194
## 366 29.496304
## 367 31.431903
## 368 32.995426
## 369 34.292171
## 370 35.401496
## 371 36.380923
## 372 37.262451
## 373 38.046757
## 374 38.741229
## 375 39.423622
## 376 40.256429
## 377 41.060516
## 378 41.750011
## 379 42.321775
## 380 42.355996
## 381 42.379911
## 382 42.820462
## 383 43.235426
## 384 43.624618
## 385 43.988680
## 386 44.328678
## 387 44.645749
## 388 44.941078
## 389 45.215885
## 390 45.471650
## 391 45.721372
## 392 45.940745
## 393 46.144280
## 394 46.333043
## 395 46.508051
## 396 46.670258
## 397 46.820563
## 398 46.959817
## 399 47.088953
## 400 47.214584
## 401 1.040985
## 402 14.194681
## 403 19.153567
## 404 22.180079
## 405 24.362706
## 406 26.065714
## 407 27.465631
## 408 28.658699
## 409 29.702636
## 410 30.636893
## 411 31.494180
## 412 32.304771
## 413 33.104367
## 414 34.042533
## 415 35.138478
## 416 36.274923
## 417 37.413102
## 418 38.571768
## 419 39.756904
## 420 39.818951
## 421 39.869334
## 422 40.947051
## 423 42.000401
## 424 42.972038
## 425 43.853789
## 426 44.620540
## 427 45.352986
## 428 46.017390
## 429 46.620336
## 430 47.166681
## 431 47.639889
## 432 48.085854
## 433 48.488650
## 434 48.852564
## 435 49.181126
## 436 49.465340
## 437 49.733946
## 438 49.976204
## 439 50.194351
## 440 50.390980
## 441 1.278754
## 442 6.775198
## 443 9.825122
## 444 12.266443
## 445 14.389818
## 446 16.429755
## 447 18.827910
## 448 21.483926
## 449 25.487905
## 450 29.628805
## 451 33.228583
## 452 36.157026
## 453 38.628250
## 454 40.432190
## 455 41.864077
## 456 43.047648
## 457 44.025430
## 458 44.838459
## 459 45.583795
## 460 45.682407
## 461 45.758894
## 462 46.302465
## 463 46.916129
## 464 47.521720
## 465 48.119216
## 466 48.635377
## 467 49.217634
## 468 49.791672
## 469 50.357366
## 470 50.914392
## 471 51.395480
## 472 51.933946
## 473 52.466538
## 474 52.991914
## 475 53.510099
## 476 53.957642
## 477 54.462436
## 478 54.960112
## 479 55.450696
## 480 55.934160
## 481 1.054844
## 482 14.257243
## 483 20.769297
## 484 24.774591
## 485 27.443380
## 486 29.582524
## 487 31.312800
## 488 32.708668
## 489 33.986204
## 490 35.159704
## 491 36.392136
## 492 37.784695
## 493 39.333837
## 494 40.780308
## 495 42.087396
## 496 43.216606
## 497 44.134110
## 498 44.945147
## 499 45.577247
## 500 45.611594
## 501 45.638314
## 502 46.166437
## 503 46.706080
## 504 47.202941
## 505 47.709207
## 506 48.198394
## 507 48.647647
## 508 49.104740
## 509 49.545815
## 510 49.950228
## 511 50.360840
## 512 50.736890
## 513 51.118537
## 514 51.485304
## 515 51.820939
## 516 52.160929
## 517 52.487657
## 518 52.786122
## 519 53.088106
## 520 53.377933
## 521 1.106140
## 522 9.151035
## 523 13.367183
## 524 16.022204
## 525 17.911435
## 526 19.269922
## 527 20.460798
## 528 21.429527
## 529 22.231102
## 530 22.932799
## 531 23.704663
## 532 25.030628
## 533 26.384098
## 534 27.648340
## 535 28.685849
## 536 29.643953
## 537 30.430568
## 538 31.074341
## 539 31.576427
## 540 31.613520
## 541 31.646695
## 542 32.037656
## 543 32.406303
## 544 32.753244
## 545 33.079356
## 546 33.385550
## 547 33.673382
## 548 33.963762
## 549 34.214911
## 550 34.450236
## 551 34.670644
## 552 34.877004
## 553 35.070150
## 554 35.265404
## 555 35.433535
## 556 35.590790
## 557 35.737921
## 558 35.875288
## 559 36.003784
## 560 36.133525
## 561 1.130776
## 562 8.331600
## 563 11.782369
## 564 14.145999
## 565 15.922290
## 566 17.413548
## 567 18.507020
## 568 19.414934
## 569 20.236925
## 570 21.128131
## 571 21.987986
## 572 23.085200
## 573 24.168728
## 574 25.140425
## 575 26.012172
## 576 26.680857
## 577 27.204519
## 578 27.592817
## 579 27.868557
## 580 27.913347
## 581 27.944659
## 582 28.283609
## 583 28.645297
## 584 28.967797
## 585 29.309590
## 586 29.640756
## 587 29.934745
## 588 30.244403
## 589 30.539244
## 590 30.801053
## 591 31.081002
## 592 31.329934
## 593 31.593248
## 594 31.848105
## 595 32.074425
## 596 32.313486
## 597 32.544479
## 598 32.749194
## 599 32.964744
## 600 33.171393
## 601 1.097042
## 602 8.013960
## 603 11.474197
## 604 13.731119
## 605 15.336126
## 606 16.620034
## 607 17.580624
## 608 18.369569
## 609 19.028713
## 610 19.619972
## 611 20.113315
## 612 20.602547
## 613 21.198017
## 614 21.824883
## 615 22.462549
## 616 23.035400
## 617 23.534057
## 618 24.005703
## 619 24.424226
## 620 24.449711
## 621 24.471332
## 622 24.801954
## 623 25.094792
## 624 25.366906
## 625 25.589338
## 626 25.782147
## 627 25.958782
## 628 26.101822
## 629 26.225276
## 630 26.337838
## 631 26.428639
## 632 26.511284
## 633 26.577859
## 634 26.635089
## 635 26.687100
## 636 26.728945
## 637 26.764883
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## 639 26.823753
## 640 26.847570
## 641 1.135179
## 642 9.700643
## 643 13.980082
## 644 17.016327
## 645 19.378758
## 646 21.298146
## 647 22.907063
## 648 24.294180
## 649 25.514832
## 650 26.604158
## 651 27.594262
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## 653 29.416081
## 654 30.340060
## 655 31.559345
## 656 32.949318
## 657 34.371914
## 658 35.784396
## 659 37.263283
## 660 37.371053
## 661 37.473763
## 662 38.643012
## 663 39.694076
## 664 40.740625
## 665 41.621840
## 666 42.502041
## 667 43.246942
## 668 43.929053
## 669 44.602685
## 670 45.162346
## 671 45.714546
## 672 46.176227
## 673 46.629379
## 674 47.006365
## 675 47.348758
## 676 47.683596
## 677 47.962433
## 678 48.234866
## 679 48.461539
## 680 48.682842
## 681 1.125922
## 682 9.646065
## 683 13.997070
## 684 16.854653
## 685 18.936008
## 686 20.547227
## 687 21.851742
## 688 22.888031
## 689 23.846435
## 690 24.701301
## 691 25.492827
## 692 26.368331
## 693 27.645429
## 694 29.022421
## 695 30.561030
## 696 32.092072
## 697 33.562232
## 698 34.962967
## 699 36.284665
## 700 36.370375
## 701 36.445657
## 702 37.595891
## 703 38.645234
## 704 39.596871
## 705 40.463329
## 706 41.249265
## 707 41.960748
## 708 42.603733
## 709 43.183770
## 710 43.706374
## 711 44.178193
## 712 44.604221
## 713 44.988746
## 714 45.335694
## 715 45.648648
## 716 45.930917
## 717 46.185309
## 718 46.414637
## 719 46.621308
## 720 46.807539
## 721 1.095070
## 722 12.412387
## 723 18.283442
## 724 22.446362
## 725 25.736310
## 726 28.639475
## 727 30.995983
## 728 33.066048
## 729 34.907320
## 730 36.657906
## 731 38.166986
## 732 39.581478
## 733 40.963198
## 734 42.376900
## 735 43.894206
## 736 45.357167
## 737 46.784813
## 738 48.123707
## 739 49.376540
## 740 49.484678
## 741 49.557774
## 742 50.618397
## 743 51.619058
## 744 52.662419
## 745 53.646415
## 746 54.626840
## 747 55.659913
## 748 56.618800
## 749 57.561412
## 750 58.546348
## 751 59.441655
## 752 60.375598
## 753 61.234270
## 754 62.064092
## 755 62.922276
## 756 63.704568
## 757 64.462204
## 758 65.241040
## 759 65.949663
## 760 66.676988
## 761 1.059358
## 762 10.782387
## 763 15.819636
## 764 19.235630
## 765 21.738060
## 766 23.958118
## 767 25.855396
## 768 27.516935
## 769 28.887634
## 770 30.186114
## 771 31.336409
## 772 32.294305
## 773 33.234477
## 774 34.069150
## 775 34.825017
## 776 35.552714
## 777 36.306891
## 778 37.006462
## 779 37.624935
## 780 37.678557
## 781 37.717429
## 782 38.262072
## 783 38.782211
## 784 39.269697
## 785 39.719939
## 786 40.156601
## 787 40.579780
## 788 40.987083
## 789 41.374500
## 790 41.747442
## 791 42.107622
## 792 42.454787
## 793 42.788832
## 794 43.110278
## 795 43.417676
## 796 43.712670
## 797 43.995030
## 798 44.265068
## 799 44.523129
## 800 44.769581
## 801 1.092879
## 802 9.637653
## 803 13.639944
## 804 16.318982
## 805 17.984857
## 806 19.179699
## 807 20.139894
## 808 20.836962
## 809 21.447987
## 810 21.923673
## 811 22.337907
## 812 22.741568
## 813 23.092289
## 814 23.459414
## 815 23.849457
## 816 24.197977
## 817 24.538326
## 818 24.865580
## 819 25.188130
## 820 25.211981
## 821 25.233327
## 822 25.477371
## 823 25.713574
## 824 25.921685
## 825 26.090545
## 826 26.250495
## 827 26.389052
## 828 26.508376
## 829 26.603594
## 830 26.692648
## 831 26.769012
## 832 26.834415
## 833 26.886384
## 834 26.934831
## 835 26.976242
## 836 27.011621
## 837 27.039676
## 838 27.065786
## 839 27.088070
## 840 27.107082
## 841 1.029176
## 842 13.639427
## 843 20.769818
## 844 25.555814
## 845 29.015618
## 846 31.771252
## 847 33.789444
## 848 35.424138
## 849 36.787378
## 850 38.022440
## 851 39.033888
## 852 39.927787
## 853 40.724601
## 854 41.445052
## 855 42.159934
## 856 42.884318
## 857 43.884363
## 858 44.978369
## 859 46.111893
## 860 46.196686
## 861 46.262809
## 862 47.231036
## 863 48.131895
## 864 49.020438
## 865 49.829976
## 866 50.654407
## 867 51.389660
## 868 52.085509
## 869 52.782476
## 870 53.396938
## 871 54.012052
## 872 54.552132
## 873 55.090773
## 874 55.562260
## 875 56.003034
## 876 56.441244
## 877 56.823871
## 878 57.203791
## 879 57.535129
## 880 57.863793
## 881 1.107250
## 882 9.406520
## 883 13.651560
## 884 16.629716
## 885 18.832475
## 886 20.823033
## 887 22.545813
## 888 23.967916
## 889 25.352551
## 890 26.672386
## 891 27.932931
## 892 29.458322
## 893 31.060312
## 894 32.554997
## 895 34.141959
## 896 35.706377
## 897 37.174894
## 898 38.765157
## 899 40.347959
## 900 40.478539
## 901 40.587976
## 902 41.987956
## 903 43.481399
## 904 44.947571
## 905 46.383913
## 906 47.778777
## 907 49.126051
## 908 50.446544
## 909 51.737619
## 910 52.996781
## 911 54.221221
## 912 55.408954
## 913 56.558168
## 914 57.670666
## 915 58.746924
## 916 59.785813
## 917 60.782361
## 918 61.741802
## 919 62.669647
## 920 63.566332
## 921 1.044920
## 922 14.838770
## 923 20.842381
## 924 24.279742
## 925 26.568504
## 926 28.277726
## 927 29.678186
## 928 30.905243
## 929 32.036416
## 930 33.132756
## 931 34.470984
## 932 36.122814
## 933 37.639428
## 934 38.955120
## 935 40.048437
## 936 40.962427
## 937 41.723723
## 938 42.352595
## 939 42.856338
## 940 42.887435
## 941 42.907029
## 942 43.325669
## 943 43.756282
## 944 44.178696
## 945 44.592936
## 946 44.980742
## 947 45.379071
## 948 45.769292
## 949 46.151442
## 950 46.525620
## 951 46.875585
## 952 47.235080
## 953 47.587601
## 954 47.933241
## 955 48.272085
## 956 48.589262
## 957 48.915059
## 958 49.234301
## 959 49.547063
## 960 49.853416
## 961 1.191002
## 962 6.512411
## 963 9.209247
## 964 11.244547
## 965 12.805922
## 966 14.030702
## 967 15.011468
## 968 15.812921
## 969 16.488723
## 970 17.093783
## 971 17.757968
## 972 18.593817
## 973 19.310368
## 974 19.925973
## 975 20.454890
## 976 20.930937
## 977 21.359478
## 978 21.757566
## 979 22.119875
## 980 22.163173
## 981 22.196921
## 982 22.525541
## 983 22.837461
## 984 23.160963
## 985 23.436971
## 986 23.719578
## 987 23.952634
## 988 24.181112
## 989 24.417056
## 990 24.618203
## 991 24.825507
## 992 25.001898
## 993 25.183330
## 994 25.337357
## 995 25.481390
## 996 25.628256
## 997 25.751506
## 998 25.882911
## 999 25.994837
## 1000 26.109837
## 1001 1.215841
## 1002 8.527035
## 1003 12.342807
## 1004 15.414780
## 1005 17.662556
## 1006 19.716647
## 1007 21.355175
## 1008 22.956896
## 1009 24.289964
## 1010 25.622610
## 1011 26.753875
## 1012 27.820907
## 1013 28.942317
## 1014 29.967028
## 1015 31.101489
## 1016 32.117364
## 1017 33.162559
## 1018 34.060567
## 1019 34.937210
## 1020 35.006691
## 1021 35.078970
## 1022 35.777656
## 1023 36.530326
## 1024 37.251392
## 1025 37.931341
## 1026 38.626939
## 1027 39.315133
## 1028 39.992335
## 1029 40.656687
## 1030 41.307261
## 1031 41.885523
## 1032 42.505979
## 1033 43.110355
## 1034 43.695620
## 1035 44.265606
## 1036 44.818873
## 1037 45.355339
## 1038 45.875039
## 1039 46.378057
## 1040 46.864529
## 1041 1.089904
## 1042 10.537041
## 1043 14.580495
## 1044 17.305688
## 1045 19.412207
## 1046 21.146554
## 1047 22.628129
## 1048 23.939012
## 1049 25.132294
## 1050 26.236263
## 1051 27.237550
## 1052 28.219532
## 1053 29.151232
## 1054 30.035580
## 1055 30.881753
## 1056 31.709273
## 1057 32.514288
## 1058 33.293163
## 1059 34.046753
## 1060 34.074668
## 1061 34.099660
## 1062 34.781364
## 1063 35.426094
## 1064 36.055390
## 1065 36.624347
## 1066 37.157062
## 1067 37.673097
## 1068 38.119566
## 1069 38.514399
## 1070 38.921533
## 1071 39.301576
## 1072 39.680692
## 1073 40.031539
## 1074 40.367080
## 1075 40.698414
## 1076 41.002798
## 1077 41.291877
## 1078 41.575369
## 1079 41.834200
## 1080 42.087415
## 1081 1.156286
## 1082 9.121771
## 1083 13.371220
## 1084 16.302430
## 1085 18.447480
## 1086 20.081213
## 1087 21.364050
## 1088 22.405024
## 1089 23.282147
## 1090 24.050800
## 1091 24.753066
## 1092 25.430776
## 1093 26.090705
## 1094 26.830980
## 1095 27.507933
## 1096 28.120312
## 1097 28.669594
## 1098 29.168250
## 1099 29.647183
## 1100 29.683981
## 1101 29.717836
## 1102 30.076928
## 1103 30.410935
## 1104 30.746502
## 1105 31.027492
## 1106 31.307356
## 1107 31.541698
## 1108 31.774738
## 1109 31.969118
## 1110 32.161838
## 1111 32.322276
## 1112 32.480824
## 1113 32.612388
## 1114 32.742180
## 1115 32.849698
## 1116 32.955659
## 1117 33.043358
## 1118 33.129721
## 1119 33.201153
## 1120 33.271457
## 1121 1.087813
## 1122 12.859052
## 1123 18.679728
## 1124 22.465895
## 1125 25.253908
## 1126 27.460640
## 1127 29.305649
## 1128 30.939127
## 1129 32.476394
## 1130 34.119836
## 1131 35.733372
## 1132 37.334826
## 1133 38.846736
## 1134 40.263602
## 1135 41.520953
## 1136 42.588909
## 1137 43.543606
## 1138 44.396752
## 1139 45.171118
## 1140 45.214456
## 1141 45.255229
## 1142 45.912876
## 1143 46.561981
## 1144 47.201041
## 1145 47.866947
## 1146 48.481659
## 1147 49.075521
## 1148 49.664263
## 1149 50.279163
## 1150 50.846871
## 1151 51.402619
## 1152 51.947180
## 1153 52.506713
## 1154 53.026809
## 1155 53.537547
## 1156 54.038711
## 1157 54.560491
## 1158 55.041302
## 1159 55.512547
## 1160 56.001193
## Assemblage Diversity Observed Estimator s.e. LCL
## 1 BE10 Species richness 15.000000 17.656604 5.9727785 15.000000
## 2 BE10 Shannon diversity 4.477834 4.637426 0.4018491 3.849816
## 3 BE10 Simpson diversity 2.522903 2.537541 0.2163823 2.113439
## 4 BE11 Species richness 32.000000 40.978723 9.4225970 32.000000
## 5 BE11 Shannon diversity 15.106089 15.873309 0.9927297 13.927594
## 6 BE11 Simpson diversity 8.586257 8.743437 0.8264708 7.123584
## 7 BE12 Species richness 21.000000 21.663477 3.3110693 21.000000
## 8 BE12 Shannon diversity 12.056420 12.708104 0.8552237 11.031896
## 9 BE12 Simpson diversity 8.084583 8.369657 0.8425939 6.718204
## 10 BE13 Species richness 42.000000 54.035178 16.9522167 42.000000
## 11 BE13 Shannon diversity 23.597320 25.773235 1.3133956 23.199027
## 12 BE13 Simpson diversity 17.905539 18.866212 1.0533460 16.801691
## 13 BE14 Species richness 46.000000 59.960674 19.6868050 46.000000
## 14 BE14 Shannon diversity 24.539775 26.883599 1.5466517 23.852217
## 15 BE14 Simpson diversity 16.693361 17.465451 1.3040549 14.909550
## 16 BE15 Species richness 41.000000 52.994540 8.7639059 41.000000
## 17 BE15 Shannon diversity 29.495851 35.477035 2.9091664 29.775173
## 18 BE15 Simpson diversity 23.275732 27.152993 3.0114685 21.250624
## 19 BE16 Species richness 25.000000 26.495690 5.6120339 25.000000
## 20 BE16 Shannon diversity 12.284503 12.775183 0.7636022 11.278551
## 21 BE16 Simpson diversity 7.426959 7.567114 0.6523755 6.288481
## 22 BE17 Species richness 31.000000 31.082935 4.3084176 31.000000
## 23 BE17 Shannon diversity 22.478066 24.240311 1.1556346 21.975309
## 24 BE17 Simpson diversity 17.691778 19.235398 1.2918774 16.703365
## 25 BE18 Species richness 47.000000 72.530811 26.9212776 47.000000
## 26 BE18 Shannon diversity 19.613692 21.717714 1.7712605 18.246107
## 27 BE18 Simpson diversity 10.576329 10.858120 1.0526892 8.794887
## 28 BE19 Species richness 37.000000 39.658937 5.4052577 37.000000
## 29 BE19 Shannon diversity 18.348002 19.482358 1.2917036 16.950665
## 30 BE19 Simpson diversity 9.926195 10.190623 1.0301056 8.171653
## 31 BE2 Species richness 32.000000 34.993088 8.5330234 32.000000
## 32 BE2 Shannon diversity 17.622988 18.391735 0.7650749 16.892216
## 33 BE2 Simpson diversity 13.375657 13.769197 0.7905603 12.219727
## 34 BE20 Species richness 20.000000 44.335570 15.8337500 20.000000
## 35 BE20 Shannon diversity 7.779758 8.839153 1.1455257 6.593964
## 36 BE20 Simpson diversity 3.955282 4.035871 0.5743370 2.910191
## 37 BE21 Species richness 35.000000 41.233289 8.7472063 35.000000
## 38 BE21 Shannon diversity 21.832030 23.108387 1.3502151 20.462014
## 39 BE21 Simpson diversity 15.823077 16.477912 1.3716108 13.789604
## 40 BE22 Species richness 23.000000 25.240302 6.3244330 23.000000
## 41 BE22 Shannon diversity 12.812872 13.553146 0.9654255 11.660947
## 42 BE22 Simpson diversity 8.494949 8.779817 0.8726075 7.069537
## 43 BE23 Species richness 21.000000 26.972973 9.0364179 21.000000
## 44 BE23 Shannon diversity 10.713187 11.393252 0.8928223 9.643352
## 45 BE23 Simpson diversity 6.764205 6.945357 0.7801896 5.416213
## 46 BE24 Species richness 20.000000 20.664530 2.8066829 20.000000
## 47 BE24 Shannon diversity 6.195198 6.407189 0.5521011 5.325091
## 48 BE24 Simpson diversity 3.026866 3.046722 0.2874356 2.483359
## 49 BE25 Species richness 29.000000 32.485232 12.3301168 29.000000
## 50 BE25 Shannon diversity 14.251109 15.343542 1.1462180 13.096996
## 51 BE25 Simpson diversity 8.672070 8.963462 1.0611400 6.883665
## 52 BE26 Species richness 26.000000 28.491803 7.0534993 26.000000
## 53 BE26 Shannon diversity 10.380759 10.906455 0.7696606 9.397948
## 54 BE26 Simpson diversity 5.580719 5.666096 0.5874748 4.514667
## 55 BE27 Species richness 39.000000 55.845833 14.0975768 39.000000
## 56 BE27 Shannon diversity 18.343938 20.174817 1.2951872 17.636296
## 57 BE27 Simpson diversity 11.624552 12.035723 1.0714078 9.935802
## 58 BE28 Species richness 30.000000 35.977528 6.8940210 30.000000
## 59 BE28 Shannon diversity 17.374372 18.650980 0.9820782 16.726142
## 60 BE28 Simpson diversity 12.443533 13.002929 0.9541252 11.132878
## 61 BE29 Species richness 22.000000 22.663923 3.2329924 22.000000
## 62 BE29 Shannon diversity 13.352550 13.998786 0.9548586 12.127297
## 63 BE29 Simpson diversity 9.224965 9.549529 0.9944520 7.600439
## 64 BE3 Species richness 40.000000 44.883333 6.3053447 40.000000
## 65 BE3 Shannon diversity 27.001927 29.282369 1.5251388 26.293152
## 66 BE3 Simpson diversity 20.738004 22.235932 1.5519150 19.194234
## 67 BE30 Species richness 28.000000 43.068139 19.8745395 28.000000
## 68 BE30 Shannon diversity 11.649885 12.687302 0.9817461 10.763115
## 69 BE30 Simpson diversity 7.142742 7.312241 0.6560631 6.026381
## 70 BE4 Species richness 32.000000 44.469880 13.4803777 32.000000
## 71 BE4 Shannon diversity 20.152640 21.220586 0.9926136 19.275100
## 72 BE4 Simpson diversity 15.525557 16.090092 0.8286086 14.466049
## 73 BE5 Species richness 17.000000 19.238693 4.4735103 17.000000
## 74 BE5 Shannon diversity 5.737908 6.031244 0.7301509 4.600174
## 75 BE5 Simpson diversity 2.816772 2.842857 0.3448633 2.166937
## 76 BE6 Species richness 26.000000 36.615385 11.6649644 26.000000
## 77 BE6 Shannon diversity 11.169507 12.249531 1.0940580 10.105217
## 78 BE6 Simpson diversity 5.992244 6.140331 0.7250454 4.719268
## 79 BE7 Species richness 28.000000 34.388148 12.4257665 28.000000
## 80 BE7 Shannon diversity 7.029619 7.275117 0.5409092 6.214954
## 81 BE7 Simpson diversity 3.438355 3.453980 0.2747168 2.915545
## 82 BE8 Species richness 24.000000 25.493151 4.8554392 24.000000
## 83 BE8 Shannon diversity 12.662098 13.446817 1.1478530 11.197066
## 84 BE8 Simpson diversity 7.016971 7.216143 0.9475283 5.359021
## 85 BE9 Species richness 33.000000 48.948387 15.8311813 33.000000
## 86 BE9 Shannon diversity 19.238117 20.809633 1.2399333 18.379409
## 87 BE9 Simpson diversity 13.708987 14.297015 1.2138257 11.917960
## UCL
## 1 29.363035
## 2 5.425036
## 3 2.961642
## 4 59.446674
## 5 17.819023
## 6 10.363289
## 7 28.153053
## 8 14.384311
## 9 10.021111
## 10 87.260912
## 11 28.347443
## 12 20.930732
## 13 98.546103
## 14 29.914980
## 15 20.021351
## 16 70.171480
## 17 41.178896
## 18 33.055363
## 19 37.495074
## 20 14.271816
## 21 8.845746
## 22 39.527278
## 23 26.505314
## 24 21.767431
## 25 125.295545
## 26 25.189320
## 27 12.921353
## 28 50.253048
## 29 22.014050
## 30 12.209593
## 31 51.717506
## 32 19.891254
## 33 15.318667
## 34 75.369150
## 35 11.084342
## 36 5.161551
## 37 58.377498
## 38 25.754760
## 39 19.166219
## 40 37.635963
## 41 15.445346
## 42 10.490096
## 43 44.684027
## 44 13.143152
## 45 8.474500
## 46 26.165527
## 47 7.489288
## 48 3.610085
## 49 56.651817
## 50 17.590088
## 51 11.043258
## 52 42.316408
## 53 12.414962
## 54 6.817526
## 55 83.476576
## 56 22.713337
## 57 14.135644
## 58 49.489561
## 59 20.575818
## 60 14.872980
## 61 29.000472
## 62 15.870274
## 63 11.498619
## 64 57.241582
## 65 32.271587
## 66 25.277629
## 67 82.021521
## 68 14.611489
## 69 8.598101
## 70 70.890934
## 71 23.166073
## 72 17.714135
## 73 28.006613
## 74 7.462313
## 75 3.518777
## 76 59.478295
## 77 14.393845
## 78 7.561394
## 79 58.742203
## 80 8.335279
## 81 3.992415
## 82 35.009637
## 83 15.696567
## 84 9.073264
## 85 79.976932
## 86 23.239858
## 87 16.676070
### a little workaround to create 29 colours and dot types ####
library(scico)
library(paletteer)
paletteer::paletteer_c("scico::berlin", 29)## <colors>
## #9EB0FFFF #89ADF4FF #73A9EAFF #5CA4DCFF #4799C9FF #3889B2FF #2F789CFF #286886FF #225771FF #1C475CFF #153748FF #122935FF #0F1C24FF #111216FF #180B09FF #220C01FF #2C0E00FF #381000FF #461300FF #561A05FF #68240FFF #7B321CFF #8E422EFF #A05342FF #B36556FF #C5766BFF #D88881FF #EB9A96FF #FFACACFF
my_palette_inext <- paletteer::paletteer_c("scico::berlin", 29)
# Species accumulation curves
ggiNEXT(birds_inext, type=1, facet.var="None") + # not all plots sampled equally
scale_color_manual(values = my_palette_inext) +
scale_fill_manual(values = my_palette_inext) +
scale_shape_manual(values = seq(1:29))# get minimum number of individuals from data
min_abund <- min(birds_inext$DataInfo$n)
bird_data2 <- as.data.frame(bird_data)
str(bird_data2)## 'data.frame': 70 obs. of 29 variables:
## $ BE10: int 0 0 0 0 0 0 0 15 0 0 ...
## $ BE11: int 0 0 0 0 1 0 0 21 0 0 ...
## $ BE12: int 0 0 0 0 0 0 0 4 0 0 ...
## $ BE13: int 0 3 0 4 2 0 0 0 1 0 ...
## $ BE14: int 0 0 0 0 2 2 11 0 1 1 ...
## $ BE15: int 0 2 5 5 0 9 1 0 0 1 ...
## $ BE16: int 0 0 0 0 0 0 0 0 0 0 ...
## $ BE17: int 0 0 3 0 0 21 0 0 0 3 ...
## $ BE18: int 1 0 4 0 2 1 0 3 0 1 ...
## $ BE19: int 0 0 0 2 0 0 0 12 0 0 ...
## $ BE2 : int 2 0 0 0 1 0 0 0 0 0 ...
## $ BE20: int 0 0 0 0 0 0 0 4 0 0 ...
## $ BE21: int 1 0 0 1 2 0 0 3 0 0 ...
## $ BE22: int 0 0 0 0 1 0 0 5 0 0 ...
## $ BE23: int 0 0 0 0 0 0 0 5 0 0 ...
## $ BE24: int 0 0 0 0 0 0 0 0 0 0 ...
## $ BE25: int 0 0 0 0 3 0 0 12 0 0 ...
## $ BE26: int 0 0 0 0 1 0 0 0 0 0 ...
## $ BE27: int 0 0 0 0 1 0 0 19 0 3 ...
## $ BE28: int 0 0 0 1 0 0 0 0 1 0 ...
## $ BE29: int 0 0 0 0 0 0 0 0 0 0 ...
## $ BE3 : int 0 2 0 0 0 0 1 0 0 0 ...
## $ BE30: int 0 0 0 0 1 1 0 0 0 0 ...
## $ BE4 : int 0 0 0 0 4 0 0 0 0 0 ...
## $ BE5 : int 0 0 0 0 0 0 0 5 0 0 ...
## $ BE6 : int 0 0 0 0 0 0 0 2 0 0 ...
## $ BE7 : int 0 0 0 0 0 0 0 37 0 0 ...
## $ BE8 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ BE9 : int 0 0 0 3 0 0 0 0 0 0 ...
# use 2x minimum number of individuals for rarefaction/extrapolation
birds_estINEXTsize <- estimateD(bird_data, q = 0, datatype = "abundance", base = "size", level = (min_abund * 2),
conf = 0.95)
birds_estINEXTsize## Assemblage m Method Order.q SC qD qD.LCL qD.UCL
## 1 BE10 298 Extrapolation 0 0.9875504 15.45303 12.24537 18.66069
## 2 BE11 298 Rarefaction 0 0.9812052 29.99164 26.82553 33.15774
## 3 BE12 298 Extrapolation 0 0.9973627 21.47799 18.48332 24.47265
## 4 BE13 298 Rarefaction 0 0.9563662 40.55495 36.22194 44.88797
## 5 BE14 298 Rarefaction 0 0.9539804 43.52956 38.57709 48.48202
## 6 BE15 298 Extrapolation 0 0.9688270 48.44774 39.99897 56.89652
## 7 BE16 298 Rarefaction 0 0.9888200 24.50655 22.28201 26.73109
## 8 BE17 298 Extrapolation 0 0.9999693 31.08237 28.41763 33.74712
## 9 BE18 298 Rarefaction 0 0.9498872 43.66224 38.73513 48.58935
## 10 BE19 298 Rarefaction 0 0.9846972 36.37941 33.64682 39.11199
## 11 BE2 298 Rarefaction 0 0.9765820 29.49552 27.07471 31.91633
## 12 BE20 298 Extrapolation 0 0.9648219 26.07815 18.21689 33.93941
## 13 BE21 298 Rarefaction 0 0.9829719 33.86571 31.21205 36.51936
## 14 BE22 298 Extrapolation 0 0.9912065 23.70803 20.20002 27.21604
## 15 BE23 298 Extrapolation 0 0.9857117 22.22210 18.49681 25.94738
## 16 BE24 298 Rarefaction 0 0.9927384 19.90441 17.70512 22.10370
## 17 BE25 298 Extrapolation 0 0.9824966 30.40233 26.39595 34.40870
## 18 BE26 298 Rarefaction 0 0.9829562 25.88297 23.04710 28.71884
## 19 BE27 298 Rarefaction 0 0.9569143 38.40692 31.92100 44.89284
## 20 BE28 298 Extrapolation 0 0.9800707 30.65641 27.77212 33.54069
## 21 BE29 298 Extrapolation 0 0.9958716 22.32677 19.72877 24.92477
## 22 BE3 298 Extrapolation 0 0.9767625 40.09409 36.10761 44.08056
## 23 BE30 298 Extrapolation 0 0.9622226 29.26520 23.27189 35.25852
## 24 BE4 298 Rarefaction 0 0.9845079 30.43505 27.86575 33.00435
## 25 BE5 298 Extrapolation 0 0.9922946 18.08674 14.10111 22.07237
## 26 BE6 298 Extrapolation 0 0.9723246 28.94929 23.14146 34.75713
## 27 BE7 298 Rarefaction 0 0.9745556 23.25916 20.66109 25.85722
## 28 BE8 298 Extrapolation 0 0.9934025 24.76742 20.83857 28.69627
## 29 BE9 298 Rarefaction 0 0.9737002 32.68743 28.18203 37.19283
# extract species richness
birds_est_sprich <- as.data.frame(cbind(site = colnames(bird_data),
sp_rich = birds_estINEXTsize$qD))
birds_est_sprich## site sp_rich
## 1 BE10 15.4530328501637
## 2 BE11 29.9916380379789
## 3 BE12 21.4779853454816
## 4 BE13 40.5549538797391
## 5 BE14 43.5295555469924
## 6 BE15 48.4477427535246
## 7 BE16 24.5065491505327
## 8 BE17 31.0823712907411
## 9 BE18 43.6622413155036
## 10 BE19 36.3794068650737
## 11 BE2 29.4955218592629
## 12 BE20 26.0781501489565
## 13 BE21 33.8657074731005
## 14 BE22 23.7080269811234
## 15 BE23 22.2220973005055
## 16 BE24 19.9044088258824
## 17 BE25 30.4023268778697
## 18 BE26 25.8829734412778
## 19 BE27 38.4069200309924
## 20 BE28 30.6564055680879
## 21 BE29 22.3267691780308
## 22 BE3 40.0940884455696
## 23 BE30 29.2652048160577
## 24 BE4 30.4350475265505
## 25 BE5 18.0867385837243
## 26 BE6 28.949294781448
## 27 BE7 23.2591575105719
## 28 BE8 24.7674210668556
## 29 BE9 32.6874308792799
Statistics!!
Question: Does urbanization have an effect on bird diversity?
We are going to run a model with the number of species as response and urbanization variables as explanatory variables.
Load environmental data
env_cov <- read.csv(here("data","data_berlin","animal_data",
"birds_transects_allenvir_100m.csv") )
head(env_cov)## site patch.lu patch.area pop_100m
## 1 BE10 park and green area 4762.0000 240.2320426
## 2 BE11 park and green area 22107.5781 41.9517209
## 3 BE12 park and green area 623.8551 64.4663933
## 4 BE13 park and green area 700876.6900 0.2617629
## 5 BE14 brownfield with meadow, shrubs and trees 1119275.5140 0.1640317
## 6 BE15 farmland 754802.5036 0.2794827
## distance_water impervious_surface light noise open_green temp_cooldown
## 1 887.99534 85.708155200 254.0484 52.66811 0.003755813 -0.4034781
## 2 182.70408 48.086350720 253.5432 61.36624 0.147960262 -0.5058560
## 3 846.25954 56.269183550 253.5924 53.33908 0.116351677 -0.4798068
## 4 89.61534 0.003294742 97.9062 22.78204 0.062367094 -0.7988746
## 5 849.76658 7.314871159 248.0444 35.69318 0.517760575 -0.6104055
## 6 1114.94496 3.692755106 238.8065 62.04909 0.692938283 -0.8771918
## temp_day temp_night tree_cover
## 1 21.85441 13.61666 6.983366
## 2 21.74545 13.03693 22.487329
## 3 21.33945 12.66102 19.374208
## 4 28.82046 16.64645 70.116086
## 5 21.35707 10.84691 36.390875
## 6 30.88368 14.75161 19.789344
## 'data.frame': 29 obs. of 13 variables:
## $ site : chr "BE10" "BE11" "BE12" "BE13" ...
## $ patch.lu : chr "park and green area" "park and green area" "park and green area" "park and green area" ...
## $ patch.area : num 4762 22108 624 700877 1119276 ...
## $ pop_100m : num 240.232 41.952 64.466 0.262 0.164 ...
## $ distance_water : num 888 182.7 846.3 89.6 849.8 ...
## $ impervious_surface: num 85.70816 48.08635 56.26918 0.00329 7.31487 ...
## $ light : num 254 253.5 253.6 97.9 248 ...
## $ noise : num 52.7 61.4 53.3 22.8 35.7 ...
## $ open_green : num 0.00376 0.14796 0.11635 0.06237 0.51776 ...
## $ temp_cooldown : num -0.403 -0.506 -0.48 -0.799 -0.61 ...
## $ temp_day : num 21.9 21.7 21.3 28.8 21.4 ...
## $ temp_night : num 13.6 13 12.7 16.6 10.8 ...
## $ tree_cover : num 6.98 22.49 19.37 70.12 36.39 ...
## site patch.lu patch.area pop_100m
## Length:29 Length:29 Min. : 624 Min. : 0.000
## Class :character Class :character 1st Qu.: 22108 1st Qu.: 3.397
## Mode :character Mode :character Median : 332616 Median : 41.952
## Mean :1101702 Mean : 69.344
## 3rd Qu.: 700877 3rd Qu.:118.731
## Max. :6995421 Max. :289.615
## distance_water impervious_surface light noise
## Min. : 89.62 Min. : 0.000 Min. : 97.91 Min. :22.78
## 1st Qu.: 308.95 1st Qu.: 7.315 1st Qu.:238.81 1st Qu.:50.24
## Median : 581.60 Median :48.086 Median :253.54 Median :55.76
## Mean : 676.67 Mean :45.063 Mean :234.06 Mean :52.80
## 3rd Qu.: 894.21 3rd Qu.:69.303 3rd Qu.:254.46 3rd Qu.:60.28
## Max. :1616.58 Max. :89.406 Max. :255.00 Max. :65.45
## open_green temp_cooldown temp_day temp_night
## Min. :0.000000 Min. :-0.9972 Min. :19.27 Min. :10.85
## 1st Qu.:0.004748 1st Qu.:-0.7463 1st Qu.:21.75 1st Qu.:12.71
## Median :0.062367 Median :-0.5619 Median :24.36 Median :13.72
## Mean :0.153202 Mean :-0.6014 Mean :24.53 Mean :14.08
## 3rd Qu.:0.147960 3rd Qu.:-0.4798 3rd Qu.:27.12 3rd Qu.:14.75
## Max. :0.998552 Max. :-0.3755 Max. :30.94 Max. :17.48
## tree_cover
## Min. : 0.1246
## 1st Qu.:14.9442
## Median :24.7570
## Mean :30.7382
## 3rd Qu.:37.6015
## Max. :79.3415
We are going to use three variables to define the ubanization gradient: tree cover, imperviousness and noise.
Prepare the data for the model
## [1] "site" "patch.lu" "patch.area"
## [4] "pop_100m" "distance_water" "impervious_surface"
## [7] "light" "noise" "open_green"
## [10] "temp_cooldown" "temp_day" "temp_night"
## [13] "tree_cover"
# Put all data together: add environmental variables to birds data
#my_model_data <- left_join(birds_est_sprich, env_cov, by = "site")
my_model_data <- merge(birds_est_sprich,env_cov,by = "site")
#select response and explanatory variables
#my_model_data <- dplyr::select(my_model_data,
# c(site, sp_rich, tree_cover, impervious_surface, noise))
my_model_data <- my_model_data[, c('site', 'sp_rich', 'tree_cover',
'impervious_surface', 'noise')]
str(my_model_data) # do you also have a chr for sp_rich?## 'data.frame': 29 obs. of 5 variables:
## $ site : chr "BE10" "BE11" "BE12" "BE13" ...
## $ sp_rich : chr "15.4530328501637" "29.9916380379789" "21.4779853454816" "40.5549538797391" ...
## $ tree_cover : num 6.98 22.49 19.37 70.12 36.39 ...
## $ impervious_surface: num 85.70816 48.08635 56.26918 0.00329 7.31487 ...
## $ noise : num 52.7 61.4 53.3 22.8 35.7 ...
## 'data.frame': 29 obs. of 5 variables:
## $ site : chr "BE10" "BE11" "BE12" "BE13" ...
## $ sp_rich : num 15.5 30 21.5 40.6 43.5 ...
## $ tree_cover : num 6.98 22.49 19.37 70.12 36.39 ...
## $ impervious_surface: num 85.70816 48.08635 56.26918 0.00329 7.31487 ...
## $ noise : num 52.7 61.4 53.3 22.8 35.7 ...
Define the model
# explore relationships between variables
ggplot(my_model_data, aes(y = sp_rich, x = tree_cover)) +
geom_point() +
geom_smooth()# build linear regression model
birds_model <- glm(sp_rich ~ tree_cover + impervious_surface + noise,
family = "gaussian",
data = my_model_data)
# View results of the model
summary(birds_model)##
## Call:
## glm(formula = sp_rich ~ tree_cover + impervious_surface + noise,
## family = "gaussian", data = my_model_data)
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 38.50520 10.13065 3.801 0.000825 ***
## tree_cover -0.04464 0.08261 -0.540 0.593673
## impervious_surface -0.19014 0.05585 -3.405 0.002240 **
## noise 0.02430 0.16490 0.147 0.884030
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for gaussian family taken to be 43.14488)
##
## Null deviance: 1882.4 on 28 degrees of freedom
## Residual deviance: 1078.6 on 25 degrees of freedom
## AIC: 197.17
##
## Number of Fisher Scoring iterations: 2
# bird diversity decreases with increasing urbanisation
# view the regression line through impervious surface only:
ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)) +
geom_point(size=7,alpha=0.5) +
geom_smooth(method = "lm", se = TRUE, col='red') +
xlab('impervious surface')PREDICT the model in Berlin
Load environmental rasters
##
## set working directory for maps, e.g. here geoTiffs ##
tree_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","tree_cover_density_2012_100m_3035.tif"))
imperv_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","imperviousness_2012_100m_3035.tif"))
noise_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","noise_daynight_2017_100m_3035.tif"))
water_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","water_bodies_2010_100m_3035.tif"))
#put all environmental rasters together for the prediction
#many_rasters <- list(x,x)
## this works
my_env_stack <- rast(list(tree_raster, imperv_raster, noise_raster))
# the raster the same name as the variables in the model
names(my_env_stack) <- c("tree_cover", "impervious_surface", "noise")
# the model is fitted with environmental predictor values between 0 and 100
# e.g. tree cover = 88.5 % in a 100*100 m cell
# check: my_model_data
# However, our rasters do not contain decimals (for PC storage and memory reasons)
# so we need to transform them to decimals before we predict our model
# to the whole of Berlin:
my_env_stack_2 <- my_env_stack/100 # correct values of the rastersPredict the model
## class : SpatRaster
## dimensions : 570, 657, 1 (nrow, ncol, nlyr)
## resolution : 100, 100 (x, y)
## extent : 4521040, 4586740, 3243800, 3300800 (xmin, xmax, ymin, ymax)
## coord. ref. : +proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs
## source(s) : memory
## name : lyr1
## min value : 16.45406
## max value : 40.44094
sp_rich_pred[sp_rich_pred < 0] <- 0 # Abundance cannot be < 0
# define colors
my_palette <- c("#440154FF", "#2D708EFF", "#56C667FF", "#DCE318FF", "#FDE725FF")
# plot map
plot(sp_rich_pred, col = my_palette, breaks = c(seq(5, 55, by = 10)))
plot(water_raster, col = "darkslategray1", legend=FALSE, add = TRUE)EXTRA INFO
In iNEXT package also calculates asymptotic diversity metrics. The estimated asymptotes area calculated via the functions
ChaoRichness()for q = 0ChaoShannon()for q = 1EstSimpson()for q = 2
For example, to estimate the species richness
## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Girdled 26 43.893 14.306 30.511 96.971
## Logged 37 61.403 18.532 43.502 128.583
Exercise
Some exercises.
###
## Diversity Analysis Exercise
# 1. Load the data
## - 1.1. the bird data 'birds_berlin_exercise_planillo2021.csv' and explore it (use head(), str())
## - 1.2. the environmental data 'birds_transects_allenvir_100m.csv' and explore it
# 2. Estimate alpha diversity:
## - 2.1. Choose the diversity index: q = 1 or q = 2
## - 2.2. Rarefy the samples to the appropriate size and estimate the rarefied values
# 3. Predict Hill number 1 or 2 in Berlin
## - 3.1. Choose environmental variables (up to 3)
## - 3.2. Run model with the diversity values and the environmental variables
## - 3.3. Plot the predictions
#~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~#
#### for those who like challenges
# 4. Estimate beta diversity:
## 4.1. Jaccard dissimilarity (for each pair of sites)
## 4.2. Bray-Curtis dissimilarity (for each pair of sites)
## 4.3. Compare the output of both beta-diversity metricsSession Info
## [1] "2023-12-12 14:42:36 CET"
## R version 4.3.2 (2023-10-31 ucrt)
## Platform: x86_64-w64-mingw32/x64 (64-bit)
## Running under: Windows 10 x64 (build 19044)
##
## Matrix products: default
##
##
## locale:
## [1] LC_COLLATE=German_Germany.utf8 LC_CTYPE=German_Germany.utf8
## [3] LC_MONETARY=German_Germany.utf8 LC_NUMERIC=C
## [5] LC_TIME=C
##
## time zone: Europe/Berlin
## tzcode source: internal
##
## attached base packages:
## [1] stats4 stats graphics grDevices utils datasets methods
## [8] base
##
## other attached packages:
## [1] paletteer_1.5.0 scico_1.5.0 here_1.0.1 terra_1.7-55
## [5] lubridate_1.9.3 forcats_1.0.0 stringr_1.5.1 dplyr_1.1.4
## [9] purrr_1.0.2 readr_2.1.4 tidyr_1.3.0 tibble_3.2.1
## [13] ggplot2_3.4.4 tidyverse_2.0.0 sads_0.4.2 bbmle_1.0.25
## [17] iNEXT_3.0.0 vegan_2.6-4 lattice_0.21-9 permute_0.9-7
## [21] knitr_1.45
##
## loaded via a namespace (and not attached):
## [1] gtable_0.3.4 xfun_0.41 bslib_0.6.0
## [4] tzdb_0.4.0 numDeriv_2016.8-1.1 vctrs_0.6.4
## [7] tools_4.3.2 generics_0.1.3 parallel_4.3.2
## [10] fansi_1.0.5 highr_0.10 cluster_2.1.4
## [13] pkgconfig_2.0.3 Matrix_1.6-1.1 lifecycle_1.0.4
## [16] farver_2.1.1 compiler_4.3.2 textshaping_0.3.7
## [19] munsell_0.5.0 codetools_0.2-19 GUILDS_1.4.6
## [22] htmltools_0.5.7 sass_0.4.7 yaml_2.3.7
## [25] crayon_1.5.2 pillar_1.9.0 jquerylib_0.1.4
## [28] MASS_7.3-60 poilog_0.4.2 cachem_1.0.8
## [31] nlme_3.1-163 tidyselect_1.2.0 bdsmatrix_1.3-6
## [34] digest_0.6.33 mvtnorm_1.2-4 stringi_1.8.2
## [37] rematch2_2.1.2 reshape2_1.4.4 bookdown_0.36
## [40] labeling_0.4.3 rmdformats_1.0.4 splines_4.3.2
## [43] rprojroot_2.0.4 fastmap_1.1.1 grid_4.3.2
## [46] colorspace_2.1-0 cli_3.6.1 magrittr_2.0.3
## [49] utf8_1.2.4 withr_2.5.2 scales_1.3.0
## [52] timechange_0.2.0 rmarkdown_2.25 ragg_1.2.6
## [55] hms_1.1.3 VGAM_1.1-9 evaluate_0.23
## [58] mgcv_1.9-0 rlang_1.1.2 Rcpp_1.0.11
## [61] glue_1.6.2 rstudioapi_0.15.0 jsonlite_1.8.7
## [64] R6_2.5.1 plyr_1.8.9 prismatic_1.1.1
## [67] systemfonts_1.0.5